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\\mathbb{N}_0",[573,1155,1157,1187],{"className":1156,"ariaHidden":619},[618],[573,1158,1160,1164,1167,1170,1173,1176,1180,1184],{"className":1159},[623],[573,1161],{"className":1162,"style":1163},[627],"height:0.8889em;vertical-align:-0.1944em;",[573,1165,692],{"className":1166},[636,637],[573,1168,684],{"className":1169},[721],[573,1171],{"className":1172,"style":725},[642],[573,1174,599],{"className":1175,"style":638},[636,637],[573,1177],{"className":1178,"style":1179},[642],"margin-right:0.2778em;",[573,1181,1140],{"className":1182},[1183],"mrel",[573,1185],{"className":1186,"style":1179},[642],[573,1188,1190,1194],{"className":1189},[623],[573,1191],{"className":1192,"style":1193},[627],"height:0.8389em;vertical-align:-0.15em;",[573,1195,1197,1201],{"className":1196},[636],[573,1198,1147],{"className":1199},[636,1200],"mathbb",[573,1202,1205],{"className":1203},[1204],"msupsub",[573,1206,1208,1230],{"className":1207},[820,821],[573,1209,1211,1227],{"className":1210},[825],[573,1212,1215],{"className":1213,"style":1214},[829],"height:0.3011em;",[573,1216,1218,1221],{"style":1217},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[573,1219],{"className":1220,"style":838},[837],[573,1222,1224],{"className":1223},[842,843,844,845],[573,1225,1150],{"className":1226},[636,845],[573,1228,871],{"className":1229},[870],[573,1231,1233],{"className":1232},[825],[573,1234,1237],{"className":1235,"style":1236},[829],"height:0.15em;",[573,1238],{},":",[1241,1242,1243,1256],"table",{},[1244,1245,1246],"thead",{},[1247,1248,1249,1253],"tr",{},[1250,1251,1252],"th",{},"Name",[1250,1254,1255],{},"Identität",[1257,1258,1259,1532,1837,2092,2403,2798,3123],"tbody",{},[1247,1260,1261,1265],{},[1262,1263,1264],"td",{},"Symmetrie",[1262,1266,1267,1478,1479],{},[573,1268,1270,1316],{"className":1269},[576],[573,1271,1273],{"className":1272},[580],[582,1274,1275],{"xmlns":584},[586,1276,1277,1313],{},[589,1278,1279,1291,1294],{},[589,1280,1281,1283,1289],{},[592,1282,595],{"fence":619},[779,1284,1285,1287],{"linethickness":781},[597,1286,692],{},[597,1288,599],{},[592,1290,609],{"fence":619},[592,1292,1293],{},"=",[589,1295,1296,1298,1311],{},[592,1297,595],{"fence":619},[779,1299,1300,1302],{"linethickness":781},[597,1301,692],{},[589,1303,1304,1306,1309],{},[597,1305,692],{},[592,1307,1308],{},"−",[597,1310,599],{},[592,1312,609],{"fence":619},[611,1314,1315],{"encoding":613},"\\binom{n}{k} = \\binom{n}{n-k}",[573,1317,1319,1400],{"className":1318,"ariaHidden":619},[618],[573,1320,1322,1325,1391,1394,1397],{"className":1321},[623],[573,1323],{"className":1324,"style":800},[627],[573,1326,1328,1334,1385],{"className":1327},[636],[573,1329,1331],{"className":1330,"style":808},[632,807],[573,1332,595],{"className":1333},[812,813],[573,1335,1337],{"className":1336},[779],[573,1338,1340,1377],{"className":1339},[820,821],[573,1341,1343,1374],{"className":1342},[825],[573,1344,1346,1360],{"className":1345,"style":830},[829],[573,1347,1348,1351],{"style":833},[573,1349],{"className":1350,"style":838},[837],[573,1352,1354],{"className":1353},[842,843,844,845],[573,1355,1357],{"className":1356},[636,845],[573,1358,599],{"className":1359,"style":638},[636,637,845],[573,1361,1362,1365],{"style":854},[573,1363],{"className":1364,"style":838},[837],[573,1366,1368],{"className":1367},[842,843,844,845],[573,1369,1371],{"className":1370},[636,845],[573,1372,692],{"className":1373},[636,637,845],[573,1375,871],{"className":1376},[870],[573,1378,1380],{"className":1379},[825],[573,1381,1383],{"className":1382,"style":878},[829],[573,1384],{},[573,1386,1388],{"className":1387,"style":808},[663,807],[573,1389,609],{"className":1390},[812,813],[573,1392],{"className":1393,"style":1179},[642],[573,1395,1293],{"className":1396},[1183],[573,1398],{"className":1399,"style":1179},[642],[573,1401,1403,1406],{"className":1402},[623],[573,1404],{"className":1405,"style":1042},[627],[573,1407,1409,1415,1472],{"className":1408},[636],[573,1410,1412],{"className":1411,"style":808},[632,807],[573,1413,595],{"className":1414},[812,813],[573,1416,1418],{"className":1417},[779],[573,1419,1421,1464],{"className":1420},[820,821],[573,1422,1424,1461],{"className":1423},[825],[573,1425,1427,1447],{"className":1426,"style":830},[829],[573,1428,1429,1432],{"style":833},[573,1430],{"className":1431,"style":838},[837],[573,1433,1435],{"className":1434},[842,843,844,845],[573,1436,1438,1441,1444],{"className":1437},[636,845],[573,1439,692],{"className":1440},[636,637,845],[573,1442,1308],{"className":1443},[647,845],[573,1445,599],{"className":1446,"style":638},[636,637,845],[573,1448,1449,1452],{"style":854},[573,1450],{"className":1451,"style":838},[837],[573,1453,1455],{"className":1454},[842,843,844,845],[573,1456,1458],{"className":1457},[636,845],[573,1459,692],{"className":1460},[636,637,845],[573,1462,871],{"className":1463},[870],[573,1465,1467],{"className":1466},[825],[573,1468,1470],{"className":1469,"style":1107},[829],[573,1471],{},[573,1473,1475],{"className":1474,"style":808},[663,807],[573,1476,609],{"className":1477},[812,813]," für ",[573,1480,1482,1501],{"className":1481},[576],[573,1483,1485],{"className":1484},[580],[582,1486,1487],{"xmlns":584},[586,1488,1489,1498],{},[589,1490,1491,1493,1496],{},[597,1492,599],{},[592,1494,1495],{},"≤",[597,1497,692],{},[611,1499,1500],{"encoding":613},"k \\leq n",[573,1502,1504,1523],{"className":1503,"ariaHidden":619},[618],[573,1505,1507,1511,1514,1517,1520],{"className":1506},[623],[573,1508],{"className":1509,"style":1510},[627],"height:0.8304em;vertical-align:-0.136em;",[573,1512,599],{"className":1513,"style":638},[636,637],[573,1515],{"className":1516,"style":1179},[642],[573,1518,1495],{"className":1519},[1183],[573,1521],{"className":1522,"style":1179},[642],[573,1524,1526,1529],{"className":1525},[623],[573,1527],{"className":1528,"style":997},[627],[573,1530,692],{"className":1531},[636,637],[1247,1533,1534,1537],{},[1262,1535,1536],{},"Absorption",[1262,1538,1539,1478,1772],{},[573,1540,1542,1596],{"className":1541},[576],[573,1543,1545],{"className":1544},[580],[582,1546,1547],{"xmlns":584},[586,1548,1549,1593],{},[589,1550,1551,1553,1565,1567,1569],{},[597,1552,599],{},[589,1554,1555,1557,1563],{},[592,1556,595],{"fence":619},[779,1558,1559,1561],{"linethickness":781},[597,1560,692],{},[597,1562,599],{},[592,1564,609],{"fence":619},[592,1566,1293],{},[597,1568,692],{},[589,1570,1571,1573,1591],{},[592,1572,595],{"fence":619},[779,1574,1575,1583],{"linethickness":781},[589,1576,1577,1579,1581],{},[597,1578,692],{},[592,1580,1308],{},[604,1582,606],{},[589,1584,1585,1587,1589],{},[597,1586,599],{},[592,1588,1308],{},[604,1590,606],{},[592,1592,609],{"fence":619},[611,1594,1595],{"encoding":613},"k \\binom{n}{k} = n \\binom{n-1}{k-1}",[573,1597,1599,1683],{"className":1598,"ariaHidden":619},[618],[573,1600,1602,1605,1608,1674,1677,1680],{"className":1601},[623],[573,1603],{"className":1604,"style":800},[627],[573,1606,599],{"className":1607,"style":638},[636,637],[573,1609,1611,1617,1668],{"className":1610},[636],[573,1612,1614],{"className":1613,"style":808},[632,807],[573,1615,595],{"className":1616},[812,813],[573,1618,1620],{"className":1619},[779],[573,1621,1623,1660],{"className":1622},[820,821],[573,1624,1626,1657],{"className":1625},[825],[573,1627,1629,1643],{"className":1628,"style":830},[829],[573,1630,1631,1634],{"style":833},[573,1632],{"className":1633,"style":838},[837],[573,1635,1637],{"className":1636},[842,843,844,845],[573,1638,1640],{"className":1639},[636,845],[573,1641,599],{"className":1642,"style":638},[636,637,845],[573,1644,1645,1648],{"style":854},[573,1646],{"className":1647,"style":838},[837],[573,1649,1651],{"className":1650},[842,843,844,845],[573,1652,1654],{"className":1653},[636,845],[573,1655,692],{"className":1656},[636,637,845],[573,1658,871],{"className":1659},[870],[573,1661,1663],{"className":1662},[825],[573,1664,1666],{"className":1665,"style":878},[829],[573,1667],{},[573,1669,1671],{"className":1670,"style":808},[663,807],[573,1672,609],{"className":1673},[812,813],[573,1675],{"className":1676,"style":1179},[642],[573,1678,1293],{"className":1679},[1183],[573,1681],{"className":1682,"style":1179},[642],[573,1684,1686,1690,1693],{"className":1685},[623],[573,1687],{"className":1688,"style":1689},[627],"height:1.2984em;vertical-align:-0.4033em;",[573,1691,692],{"className":1692},[636,637],[573,1694,1696,1702,1766],{"className":1695},[636],[573,1697,1699],{"className":1698,"style":808},[632,807],[573,1700,595],{"className":1701},[812,813],[573,1703,1705],{"className":1704},[779],[573,1706,1708,1758],{"className":1707},[820,821],[573,1709,1711,1755],{"className":1710},[825],[573,1712,1715,1735],{"className":1713,"style":1714},[829],"height:0.8951em;",[573,1716,1717,1720],{"style":833},[573,1718],{"className":1719,"style":838},[837],[573,1721,1723],{"className":1722},[842,843,844,845],[573,1724,1726,1729,1732],{"className":1725},[636,845],[573,1727,599],{"className":1728,"style":638},[636,637,845],[573,1730,1308],{"className":1731},[647,845],[573,1733,606],{"className":1734},[636,845],[573,1736,1737,1740],{"style":854},[573,1738],{"className":1739,"style":838},[837],[573,1741,1743],{"className":1742},[842,843,844,845],[573,1744,1746,1749,1752],{"className":1745},[636,845],[573,1747,692],{"className":1748},[636,637,845],[573,1750,1308],{"className":1751},[647,845],[573,1753,606],{"className":1754},[636,845],[573,1756,871],{"className":1757},[870],[573,1759,1761],{"className":1760},[825],[573,1762,1764],{"className":1763,"style":1107},[829],[573,1765],{},[573,1767,1769],{"className":1768,"style":808},[663,807],[573,1770,609],{"className":1771},[812,813],[573,1773,1775,1798],{"className":1774},[576],[573,1776,1778],{"className":1777},[580],[582,1779,1780],{"xmlns":584},[586,1781,1782,1795],{},[589,1783,1784,1786,1788,1790,1793],{},[597,1785,692],{},[592,1787,684],{"separator":619},[597,1789,599],{},[592,1791,1792],{},"≥",[604,1794,606],{},[611,1796,1797],{"encoding":613},"n, k \\geq 1",[573,1799,1801,1828],{"className":1800,"ariaHidden":619},[618],[573,1802,1804,1807,1810,1813,1816,1819,1822,1825],{"className":1803},[623],[573,1805],{"className":1806,"style":1163},[627],[573,1808,692],{"className":1809},[636,637],[573,1811,684],{"className":1812},[721],[573,1814],{"className":1815,"style":725},[642],[573,1817,599],{"className":1818,"style":638},[636,637],[573,1820],{"className":1821,"style":1179},[642],[573,1823,1792],{"className":1824},[1183],[573,1826],{"className":1827,"style":1179},[642],[573,1829,1831,1834],{"className":1830},[623],[573,1832],{"className":1833,"style":937},[627],[573,1835,606],{"className":1836},[636],[1247,1838,1839,1842],{},[1262,1840,1841],{},"Zeilensumme",[1262,1843,1844],{},[573,1845,1847,1897],{"className":1846},[576],[573,1848,1850],{"className":1849},[580],[582,1851,1852],{"xmlns":584},[586,1853,1854,1894],{},[589,1855,1856,1872,1884,1886],{},[1857,1858,1859,1862,1870],"msubsup",{},[592,1860,1861],{},"∑",[589,1863,1864,1866,1868],{},[597,1865,599],{},[592,1867,1293],{},[604,1869,1150],{},[597,1871,692],{},[589,1873,1874,1876,1882],{},[592,1875,595],{"fence":619},[779,1877,1878,1880],{"linethickness":781},[597,1879,692],{},[597,1881,599],{},[592,1883,609],{"fence":619},[592,1885,1293],{},[1887,1888,1889,1892],"msup",{},[604,1890,1891],{},"2",[597,1893,692],{},[611,1895,1896],{"encoding":613},"\\sum_{k=0}^{n} \\binom{n}{k} = 2^n",[573,1898,1900,2055],{"className":1899,"ariaHidden":619},[618],[573,1901,1903,1906,1977,1980,2046,2049,2052],{"className":1902},[623],[573,1904],{"className":1905,"style":800},[627],[573,1907,1910,1916],{"className":1908},[1909],"mop",[573,1911,1861],{"className":1912,"style":1915},[1909,1913,1914],"op-symbol","small-op","position:relative;top:0em;",[573,1917,1919],{"className":1918},[1204],[573,1920,1922,1968],{"className":1921},[820,821],[573,1923,1925,1965],{"className":1924},[825],[573,1926,1929,1950],{"className":1927,"style":1928},[829],"height:0.8043em;",[573,1930,1932,1935],{"style":1931},"top:-2.4003em;margin-left:0em;margin-right:0.05em;",[573,1933],{"className":1934,"style":838},[837],[573,1936,1938],{"className":1937},[842,843,844,845],[573,1939,1941,1944,1947],{"className":1940},[636,845],[573,1942,599],{"className":1943,"style":638},[636,637,845],[573,1945,1293],{"className":1946},[1183,845],[573,1948,1150],{"className":1949},[636,845],[573,1951,1953,1956],{"style":1952},"top:-3.2029em;margin-right:0.05em;",[573,1954],{"className":1955,"style":838},[837],[573,1957,1959],{"className":1958},[842,843,844,845],[573,1960,1962],{"className":1961},[636,845],[573,1963,692],{"className":1964},[636,637,845],[573,1966,871],{"className":1967},[870],[573,1969,1971],{"className":1970},[825],[573,1972,1975],{"className":1973,"style":1974},[829],"height:0.2997em;",[573,1976],{},[573,1978],{"className":1979,"style":725},[642],[573,1981,1983,1989,2040],{"className":1982},[636],[573,1984,1986],{"className":1985,"style":808},[632,807],[573,1987,595],{"className":1988},[812,813],[573,1990,1992],{"className":1991},[779],[573,1993,1995,2032],{"className":1994},[820,821],[573,1996,1998,2029],{"className":1997},[825],[573,1999,2001,2015],{"className":2000,"style":830},[829],[573,2002,2003,2006],{"style":833},[573,2004],{"className":2005,"style":838},[837],[573,2007,2009],{"className":2008},[842,843,844,845],[573,2010,2012],{"className":2011},[636,845],[573,2013,599],{"className":2014,"style":638},[636,637,845],[573,2016,2017,2020],{"style":854},[573,2018],{"className":2019,"style":838},[837],[573,2021,2023],{"className":2022},[842,843,844,845],[573,2024,2026],{"className":2025},[636,845],[573,2027,692],{"className":2028},[636,637,845],[573,2030,871],{"className":2031},[870],[573,2033,2035],{"className":2034},[825],[573,2036,2038],{"className":2037,"style":878},[829],[573,2039],{},[573,2041,2043],{"className":2042,"style":808},[663,807],[573,2044,609],{"className":2045},[812,813],[573,2047],{"className":2048,"style":1179},[642],[573,2050,1293],{"className":2051},[1183],[573,2053],{"className":2054,"style":1179},[642],[573,2056,2058,2062],{"className":2057},[623],[573,2059],{"className":2060,"style":2061},[627],"height:0.6644em;",[573,2063,2065,2068],{"className":2064},[636],[573,2066,1891],{"className":2067},[636],[573,2069,2071],{"className":2070},[1204],[573,2072,2074],{"className":2073},[820],[573,2075,2077],{"className":2076},[825],[573,2078,2080],{"className":2079,"style":2061},[829],[573,2081,2083,2086],{"style":2082},"top:-3.063em;margin-right:0.05em;",[573,2084],{"className":2085,"style":838},[837],[573,2087,2089],{"className":2088},[842,843,844,845],[573,2090,692],{"className":2091},[636,637,845],[1247,2093,2094,2097],{},[1262,2095,2096],{},"Alternierende Summe",[1262,2098,2099,1478,2351],{},[573,2100,2102,2156],{"className":2101},[576],[573,2103,2105],{"className":2104},[580],[582,2106,2107],{"xmlns":584},[586,2108,2109,2153],{},[589,2110,2111,2125,2127,2129,2131,2137,2149,2151],{},[1857,2112,2113,2115,2123],{},[592,2114,1861],{},[589,2116,2117,2119,2121],{},[597,2118,599],{},[592,2120,1293],{},[604,2122,1150],{},[597,2124,692],{},[592,2126,595],{"stretchy":594},[592,2128,1308],{},[604,2130,606],{},[1887,2132,2133,2135],{},[592,2134,609],{"stretchy":594},[597,2136,599],{},[589,2138,2139,2141,2147],{},[592,2140,595],{"fence":619},[779,2142,2143,2145],{"linethickness":781},[597,2144,692],{},[597,2146,599],{},[592,2148,609],{"fence":619},[592,2150,1293],{},[604,2152,1150],{},[611,2154,2155],{"encoding":613},"\\sum_{k=0}^{n} (-1)^k \\binom{n}{k} = 0",[573,2157,2159,2342],{"className":2158,"ariaHidden":619},[618],[573,2160,2162,2165,2228,2231,2234,2237,2267,2333,2336,2339],{"className":2161},[623],[573,2163],{"className":2164,"style":800},[627],[573,2166,2168,2171],{"className":2167},[1909],[573,2169,1861],{"className":2170,"style":1915},[1909,1913,1914],[573,2172,2174],{"className":2173},[1204],[573,2175,2177,2220],{"className":2176},[820,821],[573,2178,2180,2217],{"className":2179},[825],[573,2181,2183,2203],{"className":2182,"style":1928},[829],[573,2184,2185,2188],{"style":1931},[573,2186],{"className":2187,"style":838},[837],[573,2189,2191],{"className":2190},[842,843,844,845],[573,2192,2194,2197,2200],{"className":2193},[636,845],[573,2195,599],{"className":2196,"style":638},[636,637,845],[573,2198,1293],{"className":2199},[1183,845],[573,2201,1150],{"className":2202},[636,845],[573,2204,2205,2208],{"style":1952},[573,2206],{"className":2207,"style":838},[837],[573,2209,2211],{"className":2210},[842,843,844,845],[573,2212,2214],{"className":2213},[636,845],[573,2215,692],{"className":2216},[636,637,845],[573,2218,871],{"className":2219},[870],[573,2221,2223],{"className":2222},[825],[573,2224,2226],{"className":2225,"style":1974},[829],[573,2227],{},[573,2229,595],{"className":2230},[632],[573,2232,1308],{"className":2233},[636],[573,2235,606],{"className":2236},[636],[573,2238,2240,2243],{"className":2239},[663],[573,2241,609],{"className":2242},[663],[573,2244,2246],{"className":2245},[1204],[573,2247,2249],{"className":2248},[820],[573,2250,2252],{"className":2251},[825],[573,2253,2256],{"className":2254,"style":2255},[829],"height:0.8491em;",[573,2257,2258,2261],{"style":2082},[573,2259],{"className":2260,"style":838},[837],[573,2262,2264],{"className":2263},[842,843,844,845],[573,2265,599],{"className":2266,"style":638},[636,637,845],[573,2268,2270,2276,2327],{"className":2269},[636],[573,2271,2273],{"className":2272,"style":808},[632,807],[573,2274,595],{"className":2275},[812,813],[573,2277,2279],{"className":2278},[779],[573,2280,2282,2319],{"className":2281},[820,821],[573,2283,2285,2316],{"className":2284},[825],[573,2286,2288,2302],{"className":2287,"style":830},[829],[573,2289,2290,2293],{"style":833},[573,2291],{"className":2292,"style":838},[837],[573,2294,2296],{"className":2295},[842,843,844,845],[573,2297,2299],{"className":2298},[636,845],[573,2300,599],{"className":2301,"style":638},[636,637,845],[573,2303,2304,2307],{"style":854},[573,2305],{"className":2306,"style":838},[837],[573,2308,2310],{"className":2309},[842,843,844,845],[573,2311,2313],{"className":2312},[636,845],[573,2314,692],{"className":2315},[636,637,845],[573,2317,871],{"className":2318},[870],[573,2320,2322],{"className":2321},[825],[573,2323,2325],{"className":2324,"style":878},[829],[573,2326],{},[573,2328,2330],{"className":2329,"style":808},[663,807],[573,2331,609],{"className":2332},[812,813],[573,2334],{"className":2335,"style":1179},[642],[573,2337,1293],{"className":2338},[1183],[573,2340],{"className":2341,"style":1179},[642],[573,2343,2345,2348],{"className":2344},[623],[573,2346],{"className":2347,"style":937},[627],[573,2349,1150],{"className":2350},[636],[573,2352,2354,2372],{"className":2353},[576],[573,2355,2357],{"className":2356},[580],[582,2358,2359],{"xmlns":584},[586,2360,2361,2369],{},[589,2362,2363,2365,2367],{},[597,2364,692],{},[592,2366,1792],{},[604,2368,606],{},[611,2370,2371],{"encoding":613},"n \\geq 1",[573,2373,2375,2394],{"className":2374,"ariaHidden":619},[618],[573,2376,2378,2382,2385,2388,2391],{"className":2377},[623],[573,2379],{"className":2380,"style":2381},[627],"height:0.7719em;vertical-align:-0.136em;",[573,2383,692],{"className":2384},[636,637],[573,2386],{"className":2387,"style":1179},[642],[573,2389,1792],{"className":2390},[1183],[573,2392],{"className":2393,"style":1179},[642],[573,2395,2397,2400],{"className":2396},[623],[573,2398],{"className":2399,"style":937},[627],[573,2401,606],{"className":2402},[636],[1247,2404,2405,2408],{},[1262,2406,2407],{},"Vandermonde",[1262,2409,2410],{},[573,2411,2413,2491],{"className":2412},[576],[573,2414,2416],{"className":2415},[580],[582,2417,2418],{"xmlns":584},[586,2419,2420,2488],{},[589,2421,2422,2437,2450,2468,2470],{},[1857,2423,2424,2426,2435],{},[592,2425,1861],{},[589,2427,2428,2431,2433],{},[597,2429,2430],{},"j",[592,2432,1293],{},[604,2434,1150],{},[597,2436,599],{},[589,2438,2439,2441,2448],{},[592,2440,595],{"fence":619},[779,2442,2443,2446],{"linethickness":781},[597,2444,2445],{},"m",[597,2447,2430],{},[592,2449,609],{"fence":619},[589,2451,2452,2454,2466],{},[592,2453,595],{"fence":619},[779,2455,2456,2458],{"linethickness":781},[597,2457,692],{},[589,2459,2460,2462,2464],{},[597,2461,599],{},[592,2463,1308],{},[597,2465,2430],{},[592,2467,609],{"fence":619},[592,2469,1293],{},[589,2471,2472,2474,2486],{},[592,2473,595],{"fence":619},[779,2475,2476,2484],{"linethickness":781},[589,2477,2478,2480,2482],{},[597,2479,2445],{},[592,2481,602],{},[597,2483,692],{},[597,2485,599],{},[592,2487,609],{"fence":619},[611,2489,2490],{"encoding":613},"\\sum_{j=0}^{k} \\binom{m}{j} \\binom{n}{k-j} = \\binom{m+n}{k}",[573,2492,2494,2718],{"className":2493,"ariaHidden":619},[618],[573,2495,2497,2501,2567,2570,2637,2709,2712,2715],{"className":2496},[623],[573,2498],{"className":2499,"style":2500},[627],"height:1.4701em;vertical-align:-0.4811em;",[573,2502,2504,2507],{"className":2503},[1909],[573,2505,1861],{"className":2506,"style":1915},[1909,1913,1914],[573,2508,2510],{"className":2509},[1204],[573,2511,2513,2558],{"className":2512},[820,821],[573,2514,2516,2555],{"className":2515},[825],[573,2517,2520,2541],{"className":2518,"style":2519},[829],"height:0.989em;",[573,2521,2522,2525],{"style":1931},[573,2523],{"className":2524,"style":838},[837],[573,2526,2528],{"className":2527},[842,843,844,845],[573,2529,2531,2535,2538],{"className":2530},[636,845],[573,2532,2430],{"className":2533,"style":2534},[636,637,845],"margin-right:0.0572em;",[573,2536,1293],{"className":2537},[1183,845],[573,2539,1150],{"className":2540},[636,845],[573,2542,2543,2546],{"style":1952},[573,2544],{"className":2545,"style":838},[837],[573,2547,2549],{"className":2548},[842,843,844,845],[573,2550,2552],{"className":2551},[636,845],[573,2553,599],{"className":2554,"style":638},[636,637,845],[573,2556,871],{"className":2557},[870],[573,2559,2561],{"className":2560},[825],[573,2562,2565],{"className":2563,"style":2564},[829],"height:0.4358em;",[573,2566],{},[573,2568],{"className":2569,"style":725},[642],[573,2571,2573,2579,2631],{"className":2572},[636],[573,2574,2576],{"className":2575,"style":808},[632,807],[573,2577,595],{"className":2578},[812,813],[573,2580,2582],{"className":2581},[779],[573,2583,2585,2622],{"className":2584},[820,821],[573,2586,2588,2619],{"className":2587},[825],[573,2589,2591,2605],{"className":2590,"style":830},[829],[573,2592,2593,2596],{"style":833},[573,2594],{"className":2595,"style":838},[837],[573,2597,2599],{"className":2598},[842,843,844,845],[573,2600,2602],{"className":2601},[636,845],[573,2603,2430],{"className":2604,"style":2534},[636,637,845],[573,2606,2607,2610],{"style":854},[573,2608],{"className":2609,"style":838},[837],[573,2611,2613],{"className":2612},[842,843,844,845],[573,2614,2616],{"className":2615},[636,845],[573,2617,2445],{"className":2618},[636,637,845],[573,2620,871],{"className":2621},[870],[573,2623,2625],{"className":2624},[825],[573,2626,2629],{"className":2627,"style":2628},[829],"height:0.4811em;",[573,2630],{},[573,2632,2634],{"className":2633,"style":808},[663,807],[573,2635,609],{"className":2636},[812,813],[573,2638,2640,2646,2703],{"className":2639},[636],[573,2641,2643],{"className":2642,"style":808},[632,807],[573,2644,595],{"className":2645},[812,813],[573,2647,2649],{"className":2648},[779],[573,2650,2652,2695],{"className":2651},[820,821],[573,2653,2655,2692],{"className":2654},[825],[573,2656,2658,2678],{"className":2657,"style":830},[829],[573,2659,2660,2663],{"style":833},[573,2661],{"className":2662,"style":838},[837],[573,2664,2666],{"className":2665},[842,843,844,845],[573,2667,2669,2672,2675],{"className":2668},[636,845],[573,2670,599],{"className":2671,"style":638},[636,637,845],[573,2673,1308],{"className":2674},[647,845],[573,2676,2430],{"className":2677,"style":2534},[636,637,845],[573,2679,2680,2683],{"style":854},[573,2681],{"className":2682,"style":838},[837],[573,2684,2686],{"className":2685},[842,843,844,845],[573,2687,2689],{"className":2688},[636,845],[573,2690,692],{"className":2691},[636,637,845],[573,2693,871],{"className":2694},[870],[573,2696,2698],{"className":2697},[825],[573,2699,2701],{"className":2700,"style":2628},[829],[573,2702],{},[573,2704,2706],{"className":2705,"style":808},[663,807],[573,2707,609],{"className":2708},[812,813],[573,2710],{"className":2711,"style":1179},[642],[573,2713,1293],{"className":2714},[1183],[573,2716],{"className":2717,"style":1179},[642],[573,2719,2721,2725],{"className":2720},[623],[573,2722],{"className":2723,"style":2724},[627],"height:1.2023em;vertical-align:-0.35em;",[573,2726,2728,2734,2792],{"className":2727},[636],[573,2729,2731],{"className":2730,"style":808},[632,807],[573,2732,595],{"className":2733},[812,813],[573,2735,2737],{"className":2736},[779],[573,2738,2740,2784],{"className":2739},[820,821],[573,2741,2743,2781],{"className":2742},[825],[573,2744,2747,2761],{"className":2745,"style":2746},[829],"height:0.8523em;",[573,2748,2749,2752],{"style":833},[573,2750],{"className":2751,"style":838},[837],[573,2753,2755],{"className":2754},[842,843,844,845],[573,2756,2758],{"className":2757},[636,845],[573,2759,599],{"className":2760,"style":638},[636,637,845],[573,2762,2763,2766],{"style":854},[573,2764],{"className":2765,"style":838},[837],[573,2767,2769],{"className":2768},[842,843,844,845],[573,2770,2772,2775,2778],{"className":2771},[636,845],[573,2773,2445],{"className":2774},[636,637,845],[573,2776,602],{"className":2777},[647,845],[573,2779,692],{"className":2780},[636,637,845],[573,2782,871],{"className":2783},[870],[573,2785,2787],{"className":2786},[825],[573,2788,2790],{"className":2789,"style":878},[829],[573,2791],{},[573,2793,2795],{"className":2794,"style":808},[663,807],[573,2796,609],{"className":2797},[812,813],[1247,2799,2800,2803],{},[1262,2801,2802],{},"Summe der Quadrate",[1262,2804,2805],{},[573,2806,2808,2868],{"className":2807},[576],[573,2809,2811],{"className":2810},[580],[582,2812,2813],{"xmlns":584},[586,2814,2815,2865],{},[589,2816,2817,2831,2847,2849],{},[1857,2818,2819,2821,2829],{},[592,2820,1861],{},[589,2822,2823,2825,2827],{},[597,2824,599],{},[592,2826,1293],{},[604,2828,1150],{},[597,2830,692],{},[1887,2832,2833,2845],{},[589,2834,2835,2837,2843],{},[592,2836,595],{"fence":619},[779,2838,2839,2841],{"linethickness":781},[597,2840,692],{},[597,2842,599],{},[592,2844,609],{"fence":619},[604,2846,1891],{},[592,2848,1293],{},[589,2850,2851,2853,2863],{},[592,2852,595],{"fence":619},[779,2854,2855,2861],{"linethickness":781},[589,2856,2857,2859],{},[604,2858,1891],{},[597,2860,692],{},[597,2862,692],{},[592,2864,609],{"fence":619},[611,2866,2867],{"encoding":613},"\\sum_{k=0}^{n} \\binom{n}{k}^2 = \\binom{2n}{n}",[573,2869,2871,3047],{"className":2870,"ariaHidden":619},[618],[573,2872,2874,2878,2941,2944,3038,3041,3044],{"className":2873},[623],[573,2875],{"className":2876,"style":2877},[627],"height:1.404em;vertical-align:-0.35em;",[573,2879,2881,2884],{"className":2880},[1909],[573,2882,1861],{"className":2883,"style":1915},[1909,1913,1914],[573,2885,2887],{"className":2886},[1204],[573,2888,2890,2933],{"className":2889},[820,821],[573,2891,2893,2930],{"className":2892},[825],[573,2894,2896,2916],{"className":2895,"style":1928},[829],[573,2897,2898,2901],{"style":1931},[573,2899],{"className":2900,"style":838},[837],[573,2902,2904],{"className":2903},[842,843,844,845],[573,2905,2907,2910,2913],{"className":2906},[636,845],[573,2908,599],{"className":2909,"style":638},[636,637,845],[573,2911,1293],{"className":2912},[1183,845],[573,2914,1150],{"className":2915},[636,845],[573,2917,2918,2921],{"style":1952},[573,2919],{"className":2920,"style":838},[837],[573,2922,2924],{"className":2923},[842,843,844,845],[573,2925,2927],{"className":2926},[636,845],[573,2928,692],{"className":2929},[636,637,845],[573,2931,871],{"className":2932},[870],[573,2934,2936],{"className":2935},[825],[573,2937,2939],{"className":2938,"style":1974},[829],[573,2940],{},[573,2942],{"className":2943,"style":725},[642],[573,2945,2947,3013],{"className":2946},[636],[573,2948,2950,2956,3007],{"className":2949},[636],[573,2951,2953],{"className":2952,"style":808},[632,807],[573,2954,595],{"className":2955},[812,813],[573,2957,2959],{"className":2958},[779],[573,2960,2962,2999],{"className":2961},[820,821],[573,2963,2965,2996],{"className":2964},[825],[573,2966,2968,2982],{"className":2967,"style":830},[829],[573,2969,2970,2973],{"style":833},[573,2971],{"className":2972,"style":838},[837],[573,2974,2976],{"className":2975},[842,843,844,845],[573,2977,2979],{"className":2978},[636,845],[573,2980,599],{"className":2981,"style":638},[636,637,845],[573,2983,2984,2987],{"style":854},[573,2985],{"className":2986,"style":838},[837],[573,2988,2990],{"className":2989},[842,843,844,845],[573,2991,2993],{"className":2992},[636,845],[573,2994,692],{"className":2995},[636,637,845],[573,2997,871],{"className":2998},[870],[573,3000,3002],{"className":3001},[825],[573,3003,3005],{"className":3004,"style":878},[829],[573,3006],{},[573,3008,3010],{"className":3009,"style":808},[663,807],[573,3011,609],{"className":3012},[812,813],[573,3014,3016],{"className":3015},[1204],[573,3017,3019],{"className":3018},[820],[573,3020,3022],{"className":3021},[825],[573,3023,3026],{"className":3024,"style":3025},[829],"height:1.054em;",[573,3027,3029,3032],{"style":3028},"top:-3.3029em;margin-right:0.05em;",[573,3030],{"className":3031,"style":838},[837],[573,3033,3035],{"className":3034},[842,843,844,845],[573,3036,1891],{"className":3037},[636,845],[573,3039],{"className":3040,"style":1179},[642],[573,3042,1293],{"className":3043},[1183],[573,3045],{"className":3046,"style":1179},[642],[573,3048,3050,3054],{"className":3049},[623],[573,3051],{"className":3052,"style":3053},[627],"height:1.2451em;vertical-align:-0.35em;",[573,3055,3057,3063,3117],{"className":3056},[636],[573,3058,3060],{"className":3059,"style":808},[632,807],[573,3061,595],{"className":3062},[812,813],[573,3064,3066],{"className":3065},[779],[573,3067,3069,3109],{"className":3068},[820,821],[573,3070,3072,3106],{"className":3071},[825],[573,3073,3075,3089],{"className":3074,"style":1714},[829],[573,3076,3077,3080],{"style":833},[573,3078],{"className":3079,"style":838},[837],[573,3081,3083],{"className":3082},[842,843,844,845],[573,3084,3086],{"className":3085},[636,845],[573,3087,692],{"className":3088},[636,637,845],[573,3090,3091,3094],{"style":854},[573,3092],{"className":3093,"style":838},[837],[573,3095,3097],{"className":3096},[842,843,844,845],[573,3098,3100,3103],{"className":3099},[636,845],[573,3101,1891],{"className":3102},[636,845],[573,3104,692],{"className":3105},[636,637,845],[573,3107,871],{"className":3108},[870],[573,3110,3112],{"className":3111},[825],[573,3113,3115],{"className":3114,"style":878},[829],[573,3116],{},[573,3118,3120],{"className":3119,"style":808},[663,807],[573,3121,609],{"className":3122},[812,813],[1247,3124,3125,3128],{},[1262,3126,3127],{},"Hockeyschläger",[1262,3129,3130],{},[573,3131,3133,3198],{"className":3132},[576],[573,3134,3136],{"className":3135},[580],[582,3137,3138],{"xmlns":584},[586,3139,3140,3195],{},[589,3141,3142,3157,3169,3171],{},[1857,3143,3144,3146,3155],{},[592,3145,1861],{},[589,3147,3148,3151,3153],{},[597,3149,3150],{},"i",[592,3152,1293],{},[597,3154,599],{},[597,3156,692],{},[589,3158,3159,3161,3167],{},[592,3160,595],{"fence":619},[779,3162,3163,3165],{"linethickness":781},[597,3164,3150],{},[597,3166,599],{},[592,3168,609],{"fence":619},[592,3170,1293],{},[589,3172,3173,3175,3193],{},[592,3174,595],{"fence":619},[779,3176,3177,3185],{"linethickness":781},[589,3178,3179,3181,3183],{},[597,3180,692],{},[592,3182,602],{},[604,3184,606],{},[589,3186,3187,3189,3191],{},[597,3188,599],{},[592,3190,602],{},[604,3192,606],{},[592,3194,609],{"fence":619},[611,3196,3197],{"encoding":613},"\\sum_{i=k}^{n} \\binom{i}{k} = \\binom{n+1}{k+1}",[573,3199,3201,3350],{"className":3200,"ariaHidden":619},[618],[573,3202,3204,3208,3271,3274,3341,3344,3347],{"className":3203},[623],[573,3205],{"className":3206,"style":3207},[627],"height:1.2557em;vertical-align:-0.35em;",[573,3209,3211,3214],{"className":3210},[1909],[573,3212,1861],{"className":3213,"style":1915},[1909,1913,1914],[573,3215,3217],{"className":3216},[1204],[573,3218,3220,3263],{"className":3219},[820,821],[573,3221,3223,3260],{"className":3222},[825],[573,3224,3226,3246],{"className":3225,"style":1928},[829],[573,3227,3228,3231],{"style":1931},[573,3229],{"className":3230,"style":838},[837],[573,3232,3234],{"className":3233},[842,843,844,845],[573,3235,3237,3240,3243],{"className":3236},[636,845],[573,3238,3150],{"className":3239},[636,637,845],[573,3241,1293],{"className":3242},[1183,845],[573,3244,599],{"className":3245,"style":638},[636,637,845],[573,3247,3248,3251],{"style":1952},[573,3249],{"className":3250,"style":838},[837],[573,3252,3254],{"className":3253},[842,843,844,845],[573,3255,3257],{"className":3256},[636,845],[573,3258,692],{"className":3259},[636,637,845],[573,3261,871],{"className":3262},[870],[573,3264,3266],{"className":3265},[825],[573,3267,3269],{"className":3268,"style":1974},[829],[573,3270],{},[573,3272],{"className":3273,"style":725},[642],[573,3275,3277,3283,3335],{"className":3276},[636],[573,3278,3280],{"className":3279,"style":808},[632,807],[573,3281,595],{"className":3282},[812,813],[573,3284,3286],{"className":3285},[779],[573,3287,3289,3327],{"className":3288},[820,821],[573,3290,3292,3324],{"className":3291},[825],[573,3293,3296,3310],{"className":3294,"style":3295},[829],"height:0.9057em;",[573,3297,3298,3301],{"style":833},[573,3299],{"className":3300,"style":838},[837],[573,3302,3304],{"className":3303},[842,843,844,845],[573,3305,3307],{"className":3306},[636,845],[573,3308,599],{"className":3309,"style":638},[636,637,845],[573,3311,3312,3315],{"style":854},[573,3313],{"className":3314,"style":838},[837],[573,3316,3318],{"className":3317},[842,843,844,845],[573,3319,3321],{"className":3320},[636,845],[573,3322,3150],{"className":3323},[636,637,845],[573,3325,871],{"className":3326},[870],[573,3328,3330],{"className":3329},[825],[573,3331,3333],{"className":3332,"style":878},[829],[573,3334],{},[573,3336,3338],{"className":3337,"style":808},[663,807],[573,3339,609],{"className":3340},[812,813],[573,3342],{"className":3343,"style":1179},[642],[573,3345,1293],{"className":3346},[1183],[573,3348],{"className":3349,"style":1179},[642],[573,3351,3353,3356],{"className":3352},[623],[573,3354],{"className":3355,"style":1689},[627],[573,3357,3359,3365,3428],{"className":3358},[636],[573,3360,3362],{"className":3361,"style":808},[632,807],[573,3363,595],{"className":3364},[812,813],[573,3366,3368],{"className":3367},[779],[573,3369,3371,3420],{"className":3370},[820,821],[573,3372,3374,3417],{"className":3373},[825],[573,3375,3377,3397],{"className":3376,"style":1714},[829],[573,3378,3379,3382],{"style":833},[573,3380],{"className":3381,"style":838},[837],[573,3383,3385],{"className":3384},[842,843,844,845],[573,3386,3388,3391,3394],{"className":3387},[636,845],[573,3389,599],{"className":3390,"style":638},[636,637,845],[573,3392,602],{"className":3393},[647,845],[573,3395,606],{"className":3396},[636,845],[573,3398,3399,3402],{"style":854},[573,3400],{"className":3401,"style":838},[837],[573,3403,3405],{"className":3404},[842,843,844,845],[573,3406,3408,3411,3414],{"className":3407},[636,845],[573,3409,692],{"className":3410},[636,637,845],[573,3412,602],{"className":3413},[647,845],[573,3415,606],{"className":3416},[636,845],[573,3418,871],{"className":3419},[870],[573,3421,3423],{"className":3422},[825],[573,3424,3426],{"className":3425,"style":1107},[829],[573,3427],{},[573,3429,3431],{"className":3430,"style":808},[663,807],[573,3432,609],{"className":3433},[812,813],[565,3435,3436,3437,3528,3529,3620,3621,3694],{},"Zeilensumme und alternierende Summe folgen aus dem binomischen Lehrsatz mit ",[573,3438,3440,3466],{"className":3439},[576],[573,3441,3443],{"className":3442},[580],[582,3444,3445],{"xmlns":584},[586,3446,3447,3463],{},[589,3448,3449,3451,3453,3455,3457],{},[592,3450,595],{"stretchy":594},[604,3452,606],{},[592,3454,602],{},[604,3456,606],{},[1887,3458,3459,3461],{},[592,3460,609],{"stretchy":594},[597,3462,692],{},[611,3464,3465],{"encoding":613},"(1+1)^n",[573,3467,3469,3490],{"className":3468,"ariaHidden":619},[618],[573,3470,3472,3475,3478,3481,3484,3487],{"className":3471},[623],[573,3473],{"className":3474,"style":628},[627],[573,3476,595],{"className":3477},[632],[573,3479,606],{"className":3480},[636],[573,3482],{"className":3483,"style":643},[642],[573,3485,602],{"className":3486},[647],[573,3488],{"className":3489,"style":643},[642],[573,3491,3493,3496,3499],{"className":3492},[623],[573,3494],{"className":3495,"style":628},[627],[573,3497,606],{"className":3498},[636],[573,3500,3502,3505],{"className":3501},[663],[573,3503,609],{"className":3504},[663],[573,3506,3508],{"className":3507},[1204],[573,3509,3511],{"className":3510},[820],[573,3512,3514],{"className":3513},[825],[573,3515,3517],{"className":3516,"style":2061},[829],[573,3518,3519,3522],{"style":2082},[573,3520],{"className":3521,"style":838},[837],[573,3523,3525],{"className":3524},[842,843,844,845],[573,3526,692],{"className":3527},[636,637,845]," und ",[573,3530,3532,3558],{"className":3531},[576],[573,3533,3535],{"className":3534},[580],[582,3536,3537],{"xmlns":584},[586,3538,3539,3555],{},[589,3540,3541,3543,3545,3547,3549],{},[592,3542,595],{"stretchy":594},[604,3544,606],{},[592,3546,1308],{},[604,3548,606],{},[1887,3550,3551,3553],{},[592,3552,609],{"stretchy":594},[597,3554,692],{},[611,3556,3557],{"encoding":613},"(1-1)^n",[573,3559,3561,3582],{"className":3560,"ariaHidden":619},[618],[573,3562,3564,3567,3570,3573,3576,3579],{"className":3563},[623],[573,3565],{"className":3566,"style":628},[627],[573,3568,595],{"className":3569},[632],[573,3571,606],{"className":3572},[636],[573,3574],{"className":3575,"style":643},[642],[573,3577,1308],{"className":3578},[647],[573,3580],{"className":3581,"style":643},[642],[573,3583,3585,3588,3591],{"className":3584},[623],[573,3586],{"className":3587,"style":628},[627],[573,3589,606],{"className":3590},[636],[573,3592,3594,3597],{"className":3593},[663],[573,3595,609],{"className":3596},[663],[573,3598,3600],{"className":3599},[1204],[573,3601,3603],{"className":3602},[820],[573,3604,3606],{"className":3605},[825],[573,3607,3609],{"className":3608,"style":2061},[829],[573,3610,3611,3614],{"style":2082},[573,3612],{"className":3613,"style":838},[837],[573,3615,3617],{"className":3616},[842,843,844,845],[573,3618,692],{"className":3619},[636,637,845],". Die Summe der Quadrate ist der Spezialfall ",[573,3622,3624,3646],{"className":3623},[576],[573,3625,3627],{"className":3626},[580],[582,3628,3629],{"xmlns":584},[586,3630,3631,3643],{},[589,3632,3633,3635,3637,3639,3641],{},[597,3634,2445],{},[592,3636,1293],{},[597,3638,692],{},[592,3640,1293],{},[597,3642,599],{},[611,3644,3645],{"encoding":613},"m = n = k",[573,3647,3649,3667,3685],{"className":3648,"ariaHidden":619},[618],[573,3650,3652,3655,3658,3661,3664],{"className":3651},[623],[573,3653],{"className":3654,"style":997},[627],[573,3656,2445],{"className":3657},[636,637],[573,3659],{"className":3660,"style":1179},[642],[573,3662,1293],{"className":3663},[1183],[573,3665],{"className":3666,"style":1179},[642],[573,3668,3670,3673,3676,3679,3682],{"className":3669},[623],[573,3671],{"className":3672,"style":997},[627],[573,3674,692],{"className":3675},[636,637],[573,3677],{"className":3678,"style":1179},[642],[573,3680,1293],{"className":3681},[1183],[573,3683],{"className":3684,"style":1179},[642],[573,3686,3688,3691],{"className":3687},[623],[573,3689],{"className":3690,"style":967},[627],[573,3692,599],{"className":3693,"style":638},[636,637]," von Vandermonde, zusammen mit der Symmetrie.",[560,3696,3698],{"id":3697},"beispiele","Beispiele",[565,3700,3701,3704,3705,3528,3832,3958,3959,4130],{},[569,3702,3703],{},"Pascal:"," Aus ",[573,3706,3708,3739],{"className":3707},[576],[573,3709,3711],{"className":3710},[580],[582,3712,3713],{"xmlns":584},[586,3714,3715,3736],{},[589,3716,3717,3731,3733],{},[589,3718,3719,3721,3729],{},[592,3720,595],{"fence":619},[779,3722,3723,3726],{"linethickness":781},[604,3724,3725],{},"9",[604,3727,3728],{},"3",[592,3730,609],{"fence":619},[592,3732,1293],{},[604,3734,3735],{},"84",[611,3737,3738],{"encoding":613},"\\binom{9}{3} = 84",[573,3740,3742,3823],{"className":3741,"ariaHidden":619},[618],[573,3743,3745,3748,3814,3817,3820],{"className":3744},[623],[573,3746],{"className":3747,"style":3053},[627],[573,3749,3751,3757,3808],{"className":3750},[636],[573,3752,3754],{"className":3753,"style":808},[632,807],[573,3755,595],{"className":3756},[812,813],[573,3758,3760],{"className":3759},[779],[573,3761,3763,3800],{"className":3762},[820,821],[573,3764,3766,3797],{"className":3765},[825],[573,3767,3769,3783],{"className":3768,"style":1714},[829],[573,3770,3771,3774],{"style":833},[573,3772],{"className":3773,"style":838},[837],[573,3775,3777],{"className":3776},[842,843,844,845],[573,3778,3780],{"className":3779},[636,845],[573,3781,3728],{"className":3782},[636,845],[573,3784,3785,3788],{"style":854},[573,3786],{"className":3787,"style":838},[837],[573,3789,3791],{"className":3790},[842,843,844,845],[573,3792,3794],{"className":3793},[636,845],[573,3795,3725],{"className":3796},[636,845],[573,3798,871],{"className":3799},[870],[573,3801,3803],{"className":3802},[825],[573,3804,3806],{"className":3805,"style":878},[829],[573,3807],{},[573,3809,3811],{"className":3810,"style":808},[663,807],[573,3812,609],{"className":3813},[812,813],[573,3815],{"className":3816,"style":1179},[642],[573,3818,1293],{"className":3819},[1183],[573,3821],{"className":3822,"style":1179},[642],[573,3824,3826,3829],{"className":3825},[623],[573,3827],{"className":3828,"style":937},[627],[573,3830,3735],{"className":3831},[636],[573,3833,3835,3865],{"className":3834},[576],[573,3836,3838],{"className":3837},[580],[582,3839,3840],{"xmlns":584},[586,3841,3842,3862],{},[589,3843,3844,3857,3859],{},[589,3845,3846,3848,3855],{},[592,3847,595],{"fence":619},[779,3849,3850,3852],{"linethickness":781},[604,3851,3725],{},[604,3853,3854],{},"4",[592,3856,609],{"fence":619},[592,3858,1293],{},[604,3860,3861],{},"126",[611,3863,3864],{"encoding":613},"\\binom{9}{4} = 126",[573,3866,3868,3949],{"className":3867,"ariaHidden":619},[618],[573,3869,3871,3874,3940,3943,3946],{"className":3870},[623],[573,3872],{"className":3873,"style":3053},[627],[573,3875,3877,3883,3934],{"className":3876},[636],[573,3878,3880],{"className":3879,"style":808},[632,807],[573,3881,595],{"className":3882},[812,813],[573,3884,3886],{"className":3885},[779],[573,3887,3889,3926],{"className":3888},[820,821],[573,3890,3892,3923],{"className":3891},[825],[573,3893,3895,3909],{"className":3894,"style":1714},[829],[573,3896,3897,3900],{"style":833},[573,3898],{"className":3899,"style":838},[837],[573,3901,3903],{"className":3902},[842,843,844,845],[573,3904,3906],{"className":3905},[636,845],[573,3907,3854],{"className":3908},[636,845],[573,3910,3911,3914],{"style":854},[573,3912],{"className":3913,"style":838},[837],[573,3915,3917],{"className":3916},[842,843,844,845],[573,3918,3920],{"className":3919},[636,845],[573,3921,3725],{"className":3922},[636,845],[573,3924,871],{"className":3925},[870],[573,3927,3929],{"className":3928},[825],[573,3930,3932],{"className":3931,"style":878},[829],[573,3933],{},[573,3935,3937],{"className":3936,"style":808},[663,807],[573,3938,609],{"className":3939},[812,813],[573,3941],{"className":3942,"style":1179},[642],[573,3944,1293],{"className":3945},[1183],[573,3947],{"className":3948,"style":1179},[642],[573,3950,3952,3955],{"className":3951},[623],[573,3953],{"className":3954,"style":937},[627],[573,3956,3861],{"className":3957},[636]," folgt ",[573,3960,3962,4000],{"className":3961},[576],[573,3963,3965],{"className":3964},[580],[582,3966,3967],{"xmlns":584},[586,3968,3969,3997],{},[589,3970,3971,3984,3986,3988,3990,3992,3994],{},[589,3972,3973,3975,3982],{},[592,3974,595],{"fence":619},[779,3976,3977,3980],{"linethickness":781},[604,3978,3979],{},"10",[604,3981,3854],{},[592,3983,609],{"fence":619},[592,3985,1293],{},[604,3987,3735],{},[592,3989,602],{},[604,3991,3861],{},[592,3993,1293],{},[604,3995,3996],{},"210",[611,3998,3999],{"encoding":613},"\\binom{10}{4} = 84 + 126 = 210",[573,4001,4003,4084,4103,4121],{"className":4002,"ariaHidden":619},[618],[573,4004,4006,4009,4075,4078,4081],{"className":4005},[623],[573,4007],{"className":4008,"style":3053},[627],[573,4010,4012,4018,4069],{"className":4011},[636],[573,4013,4015],{"className":4014,"style":808},[632,807],[573,4016,595],{"className":4017},[812,813],[573,4019,4021],{"className":4020},[779],[573,4022,4024,4061],{"className":4023},[820,821],[573,4025,4027,4058],{"className":4026},[825],[573,4028,4030,4044],{"className":4029,"style":1714},[829],[573,4031,4032,4035],{"style":833},[573,4033],{"className":4034,"style":838},[837],[573,4036,4038],{"className":4037},[842,843,844,845],[573,4039,4041],{"className":4040},[636,845],[573,4042,3854],{"className":4043},[636,845],[573,4045,4046,4049],{"style":854},[573,4047],{"className":4048,"style":838},[837],[573,4050,4052],{"className":4051},[842,843,844,845],[573,4053,4055],{"className":4054},[636,845],[573,4056,3979],{"className":4057},[636,845],[573,4059,871],{"className":4060},[870],[573,4062,4064],{"className":4063},[825],[573,4065,4067],{"className":4066,"style":878},[829],[573,4068],{},[573,4070,4072],{"className":4071,"style":808},[663,807],[573,4073,609],{"className":4074},[812,813],[573,4076],{"className":4077,"style":1179},[642],[573,4079,1293],{"className":4080},[1183],[573,4082],{"className":4083,"style":1179},[642],[573,4085,4087,4091,4094,4097,4100],{"className":4086},[623],[573,4088],{"className":4089,"style":4090},[627],"height:0.7278em;vertical-align:-0.0833em;",[573,4092,3735],{"className":4093},[636],[573,4095],{"className":4096,"style":643},[642],[573,4098,602],{"className":4099},[647],[573,4101],{"className":4102,"style":643},[642],[573,4104,4106,4109,4112,4115,4118],{"className":4105},[623],[573,4107],{"className":4108,"style":937},[627],[573,4110,3861],{"className":4111},[636],[573,4113],{"className":4114,"style":1179},[642],[573,4116,1293],{"className":4117},[1183],[573,4119],{"className":4120,"style":1179},[642],[573,4122,4124,4127],{"className":4123},[623],[573,4125],{"className":4126,"style":937},[627],[573,4128,3996],{"className":4129},[636],".",[565,4132,4133,4136,4137,4381,4382,4130],{},[569,4134,4135],{},"Absorption:"," ",[573,4138,4140,4189],{"className":4139},[576],[573,4141,4143],{"className":4142},[580],[582,4144,4145],{"xmlns":584},[586,4146,4147,4186],{},[589,4148,4149,4152,4155,4167,4169,4171,4173],{},[604,4150,4151],{},"5",[592,4153,4154],{},"⋅",[589,4156,4157,4159,4165],{},[592,4158,595],{"fence":619},[779,4160,4161,4163],{"linethickness":781},[604,4162,3725],{},[604,4164,4151],{},[592,4166,609],{"fence":619},[592,4168,1293],{},[604,4170,3725],{},[592,4172,4154],{},[589,4174,4175,4177,4184],{},[592,4176,595],{"fence":619},[779,4178,4179,4182],{"linethickness":781},[604,4180,4181],{},"8",[604,4183,3854],{},[592,4185,609],{"fence":619},[611,4187,4188],{"encoding":613},"5 \\cdot \\binom{9}{5} = 9 \\cdot \\binom{8}{4}",[573,4190,4192,4210,4291,4309],{"className":4191,"ariaHidden":619},[618],[573,4193,4195,4198,4201,4204,4207],{"className":4194},[623],[573,4196],{"className":4197,"style":937},[627],[573,4199,4151],{"className":4200},[636],[573,4202],{"className":4203,"style":643},[642],[573,4205,4154],{"className":4206},[647],[573,4208],{"className":4209,"style":643},[642],[573,4211,4213,4216,4282,4285,4288],{"className":4212},[623],[573,4214],{"className":4215,"style":3053},[627],[573,4217,4219,4225,4276],{"className":4218},[636],[573,4220,4222],{"className":4221,"style":808},[632,807],[573,4223,595],{"className":4224},[812,813],[573,4226,4228],{"className":4227},[779],[573,4229,4231,4268],{"className":4230},[820,821],[573,4232,4234,4265],{"className":4233},[825],[573,4235,4237,4251],{"className":4236,"style":1714},[829],[573,4238,4239,4242],{"style":833},[573,4240],{"className":4241,"style":838},[837],[573,4243,4245],{"className":4244},[842,843,844,845],[573,4246,4248],{"className":4247},[636,845],[573,4249,4151],{"className":4250},[636,845],[573,4252,4253,4256],{"style":854},[573,4254],{"className":4255,"style":838},[837],[573,4257,4259],{"className":4258},[842,843,844,845],[573,4260,4262],{"className":4261},[636,845],[573,4263,3725],{"className":4264},[636,845],[573,4266,871],{"className":4267},[870],[573,4269,4271],{"className":4270},[825],[573,4272,4274],{"className":4273,"style":878},[829],[573,4275],{},[573,4277,4279],{"className":4278,"style":808},[663,807],[573,4280,609],{"className":4281},[812,813],[573,4283],{"className":4284,"style":1179},[642],[573,4286,1293],{"className":4287},[1183],[573,4289],{"className":4290,"style":1179},[642],[573,4292,4294,4297,4300,4303,4306],{"className":4293},[623],[573,4295],{"className":4296,"style":937},[627],[573,4298,3725],{"className":4299},[636],[573,4301],{"className":4302,"style":643},[642],[573,4304,4154],{"className":4305},[647],[573,4307],{"className":4308,"style":643},[642],[573,4310,4312,4315],{"className":4311},[623],[573,4313],{"className":4314,"style":3053},[627],[573,4316,4318,4324,4375],{"className":4317},[636],[573,4319,4321],{"className":4320,"style":808},[632,807],[573,4322,595],{"className":4323},[812,813],[573,4325,4327],{"className":4326},[779],[573,4328,4330,4367],{"className":4329},[820,821],[573,4331,4333,4364],{"className":4332},[825],[573,4334,4336,4350],{"className":4335,"style":1714},[829],[573,4337,4338,4341],{"style":833},[573,4339],{"className":4340,"style":838},[837],[573,4342,4344],{"className":4343},[842,843,844,845],[573,4345,4347],{"className":4346},[636,845],[573,4348,3854],{"className":4349},[636,845],[573,4351,4352,4355],{"style":854},[573,4353],{"className":4354,"style":838},[837],[573,4356,4358],{"className":4357},[842,843,844,845],[573,4359,4361],{"className":4360},[636,845],[573,4362,4181],{"className":4363},[636,845],[573,4365,871],{"className":4366},[870],[573,4368,4370],{"className":4369},[825],[573,4371,4373],{"className":4372,"style":878},[829],[573,4374],{},[573,4376,4378],{"className":4377,"style":808},[663,807],[573,4379,609],{"className":4380},[812,813],", also ",[573,4383,4385,4417],{"className":4384},[576],[573,4386,4388],{"className":4387},[580],[582,4389,4390],{"xmlns":584},[586,4391,4392,4414],{},[589,4393,4394,4396,4398,4400,4402,4404,4406,4409,4411],{},[604,4395,4151],{},[592,4397,4154],{},[604,4399,3861],{},[592,4401,1293],{},[604,4403,3725],{},[592,4405,4154],{},[604,4407,4408],{},"70",[592,4410,1293],{},[604,4412,4413],{},"630",[611,4415,4416],{"encoding":613},"5 \\cdot 126 = 9 \\cdot 70 = 630",[573,4418,4420,4438,4456,4474,4492],{"className":4419,"ariaHidden":619},[618],[573,4421,4423,4426,4429,4432,4435],{"className":4422},[623],[573,4424],{"className":4425,"style":937},[627],[573,4427,4151],{"className":4428},[636],[573,4430],{"className":4431,"style":643},[642],[573,4433,4154],{"className":4434},[647],[573,4436],{"className":4437,"style":643},[642],[573,4439,4441,4444,4447,4450,4453],{"className":4440},[623],[573,4442],{"className":4443,"style":937},[627],[573,4445,3861],{"className":4446},[636],[573,4448],{"className":4449,"style":1179},[642],[573,4451,1293],{"className":4452},[1183],[573,4454],{"className":4455,"style":1179},[642],[573,4457,4459,4462,4465,4468,4471],{"className":4458},[623],[573,4460],{"className":4461,"style":937},[627],[573,4463,3725],{"className":4464},[636],[573,4466],{"className":4467,"style":643},[642],[573,4469,4154],{"className":4470},[647],[573,4472],{"className":4473,"style":643},[642],[573,4475,4477,4480,4483,4486,4489],{"className":4476},[623],[573,4478],{"className":4479,"style":937},[627],[573,4481,4408],{"className":4482},[636],[573,4484],{"className":4485,"style":1179},[642],[573,4487,1293],{"className":4488},[1183],[573,4490],{"className":4491,"style":1179},[642],[573,4493,4495,4498],{"className":4494},[623],[573,4496],{"className":4497,"style":937},[627],[573,4499,4413],{"className":4500},[636],[565,4502,4503,3704,4506,4534,4535,4563,4564,4592],{},[569,4504,4505],{},"Vandermonde:",[573,4507,4509,4522],{"className":4508},[576],[573,4510,4512],{"className":4511},[580],[582,4513,4514],{"xmlns":584},[586,4515,4516,4520],{},[589,4517,4518],{},[604,4519,3728],{},[611,4521,3728],{"encoding":613},[573,4523,4525],{"className":4524,"ariaHidden":619},[618],[573,4526,4528,4531],{"className":4527},[623],[573,4529],{"className":4530,"style":937},[627],[573,4532,3728],{"className":4533},[636]," Frauen und ",[573,4536,4538,4551],{"className":4537},[576],[573,4539,4541],{"className":4540},[580],[582,4542,4543],{"xmlns":584},[586,4544,4545,4549],{},[589,4546,4547],{},[604,4548,3854],{},[611,4550,3854],{"encoding":613},[573,4552,4554],{"className":4553,"ariaHidden":619},[618],[573,4555,4557,4560],{"className":4556},[623],[573,4558],{"className":4559,"style":937},[627],[573,4561,3854],{"className":4562},[636]," Männern werden ",[573,4565,4567,4580],{"className":4566},[576],[573,4568,4570],{"className":4569},[580],[582,4571,4572],{"xmlns":584},[586,4573,4574,4578],{},[589,4575,4576],{},[604,4577,3728],{},[611,4579,3728],{"encoding":613},[573,4581,4583],{"className":4582,"ariaHidden":619},[618],[573,4584,4586,4589],{"className":4585},[623],[573,4587],{"className":4588,"style":937},[627],[573,4590,3728],{"className":4591},[636]," Personen gewählt. Nach Anzahl der Frauen aufgeteilt:",[573,4594,4597],{"className":4595},[4596],"katex-display",[573,4598,4600,4753],{"className":4599},[576],[573,4601,4603],{"className":4602},[580],[582,4604,4606],{"xmlns":584,"display":4605},"block",[586,4607,4608,4750],{},[589,4609,4610,4622,4634,4636,4648,4660,4662,4674,4686,4688,4700,4712,4714,4716,4718,4721,4723,4726,4728,4730,4732,4735,4737],{},[589,4611,4612,4614,4620],{},[592,4613,595],{"fence":619},[779,4615,4616,4618],{"linethickness":781},[604,4617,3728],{},[604,4619,1150],{},[592,4621,609],{"fence":619},[589,4623,4624,4626,4632],{},[592,4625,595],{"fence":619},[779,4627,4628,4630],{"linethickness":781},[604,4629,3854],{},[604,4631,3728],{},[592,4633,609],{"fence":619},[592,4635,602],{},[589,4637,4638,4640,4646],{},[592,4639,595],{"fence":619},[779,4641,4642,4644],{"linethickness":781},[604,4643,3728],{},[604,4645,606],{},[592,4647,609],{"fence":619},[589,4649,4650,4652,4658],{},[592,4651,595],{"fence":619},[779,4653,4654,4656],{"linethickness":781},[604,4655,3854],{},[604,4657,1891],{},[592,4659,609],{"fence":619},[592,4661,602],{},[589,4663,4664,4666,4672],{},[592,4665,595],{"fence":619},[779,4667,4668,4670],{"linethickness":781},[604,4669,3728],{},[604,4671,1891],{},[592,4673,609],{"fence":619},[589,4675,4676,4678,4684],{},[592,4677,595],{"fence":619},[779,4679,4680,4682],{"linethickness":781},[604,4681,3854],{},[604,4683,606],{},[592,4685,609],{"fence":619},[592,4687,602],{},[589,4689,4690,4692,4698],{},[592,4691,595],{"fence":619},[779,4693,4694,4696],{"linethickness":781},[604,4695,3728],{},[604,4697,3728],{},[592,4699,609],{"fence":619},[589,4701,4702,4704,4710],{},[592,4703,595],{"fence":619},[779,4705,4706,4708],{"linethickness":781},[604,4707,3854],{},[604,4709,1150],{},[592,4711,609],{"fence":619},[592,4713,1293],{},[604,4715,3854],{},[592,4717,602],{},[604,4719,4720],{},"18",[592,4722,602],{},[604,4724,4725],{},"12",[592,4727,602],{},[604,4729,606],{},[592,4731,1293],{},[604,4733,4734],{},"35",[592,4736,1293],{},[589,4738,4739,4741,4748],{},[592,4740,595],{"fence":619},[779,4742,4743,4746],{"linethickness":781},[604,4744,4745],{},"7",[604,4747,3728],{},[592,4749,609],{"fence":619},[611,4751,4752],{"encoding":613},"\\binom{3}{0}\\binom{4}{3} + \\binom{3}{1}\\binom{4}{2} + \\binom{3}{2}\\binom{4}{1} + \\binom{3}{3}\\binom{4}{0} = 4 + 18 + 12 + 1 = 35 = \\binom{7}{3}",[573,4754,4756,4897,5032,5167,5302,5320,5338,5356,5374,5392],{"className":4755,"ariaHidden":619},[618],[573,4757,4759,4763,4828,4888,4891,4894],{"className":4758},[623],[573,4760],{"className":4761,"style":4762},[627],"height:2.4em;vertical-align:-0.95em;",[573,4764,4766,4772,4822],{"className":4765},[636],[573,4767,4769],{"className":4768,"style":808},[632,807],[573,4770,595],{"className":4771},[812,844],[573,4773,4775],{"className":4774},[779],[573,4776,4778,4813],{"className":4777},[820,821],[573,4779,4781,4810],{"className":4780},[825],[573,4782,4785,4798],{"className":4783,"style":4784},[829],"height:1.3214em;",[573,4786,4788,4792],{"style":4787},"top:-2.314em;",[573,4789],{"className":4790,"style":4791},[837],"height:3em;",[573,4793,4795],{"className":4794},[636],[573,4796,1150],{"className":4797},[636],[573,4799,4801,4804],{"style":4800},"top:-3.677em;",[573,4802],{"className":4803,"style":4791},[837],[573,4805,4807],{"className":4806},[636],[573,4808,3728],{"className":4809},[636],[573,4811,871],{"className":4812},[870],[573,4814,4816],{"className":4815},[825],[573,4817,4820],{"className":4818,"style":4819},[829],"height:0.686em;",[573,4821],{},[573,4823,4825],{"className":4824,"style":808},[663,807],[573,4826,609],{"className":4827},[812,844],[573,4829,4831,4837,4882],{"className":4830},[636],[573,4832,4834],{"className":4833,"style":808},[632,807],[573,4835,595],{"className":4836},[812,844],[573,4838,4840],{"className":4839},[779],[573,4841,4843,4874],{"className":4842},[820,821],[573,4844,4846,4871],{"className":4845},[825],[573,4847,4849,4860],{"className":4848,"style":4784},[829],[573,4850,4851,4854],{"style":4787},[573,4852],{"className":4853,"style":4791},[837],[573,4855,4857],{"className":4856},[636],[573,4858,3728],{"className":4859},[636],[573,4861,4862,4865],{"style":4800},[573,4863],{"className":4864,"style":4791},[837],[573,4866,4868],{"className":4867},[636],[573,4869,3854],{"className":4870},[636],[573,4872,871],{"className":4873},[870],[573,4875,4877],{"className":4876},[825],[573,4878,4880],{"className":4879,"style":4819},[829],[573,4881],{},[573,4883,4885],{"className":4884,"style":808},[663,807],[573,4886,609],{"className":4887},[812,844],[573,4889],{"className":4890,"style":643},[642],[573,4892,602],{"className":4893},[647],[573,4895],{"className":4896,"style":643},[642],[573,4898,4900,4903,4963,5023,5026,5029],{"className":4899},[623],[573,4901],{"className":4902,"style":4762},[627],[573,4904,4906,4912,4957],{"className":4905},[636],[573,4907,4909],{"className":4908,"style":808},[632,807],[573,4910,595],{"className":4911},[812,844],[573,4913,4915],{"className":4914},[779],[573,4916,4918,4949],{"className":4917},[820,821],[573,4919,4921,4946],{"className":4920},[825],[573,4922,4924,4935],{"className":4923,"style":4784},[829],[573,4925,4926,4929],{"style":4787},[573,4927],{"className":4928,"style":4791},[837],[573,4930,4932],{"className":4931},[636],[573,4933,606],{"className":4934},[636],[573,4936,4937,4940],{"style":4800},[573,4938],{"className":4939,"style":4791},[837],[573,4941,4943],{"className":4942},[636],[573,4944,3728],{"className":4945},[636],[573,4947,871],{"className":4948},[870],[573,4950,4952],{"className":4951},[825],[573,4953,4955],{"className":4954,"style":4819},[829],[573,4956],{},[573,4958,4960],{"className":4959,"style":808},[663,807],[573,4961,609],{"className":4962},[812,844],[573,4964,4966,4972,5017],{"className":4965},[636],[573,4967,4969],{"className":4968,"style":808},[632,807],[573,4970,595],{"className":4971},[812,844],[573,4973,4975],{"className":4974},[779],[573,4976,4978,5009],{"className":4977},[820,821],[573,4979,4981,5006],{"className":4980},[825],[573,4982,4984,4995],{"className":4983,"style":4784},[829],[573,4985,4986,4989],{"style":4787},[573,4987],{"className":4988,"style":4791},[837],[573,4990,4992],{"className":4991},[636],[573,4993,1891],{"className":4994},[636],[573,4996,4997,5000],{"style":4800},[573,4998],{"className":4999,"style":4791},[837],[573,5001,5003],{"className":5002},[636],[573,5004,3854],{"className":5005},[636],[573,5007,871],{"className":5008},[870],[573,5010,5012],{"className":5011},[825],[573,5013,5015],{"className":5014,"style":4819},[829],[573,5016],{},[573,5018,5020],{"className":5019,"style":808},[663,807],[573,5021,609],{"className":5022},[812,844],[573,5024],{"className":5025,"style":643},[642],[573,5027,602],{"className":5028},[647],[573,5030],{"className":5031,"style":643},[642],[573,5033,5035,5038,5098,5158,5161,5164],{"className":5034},[623],[573,5036],{"className":5037,"style":4762},[627],[573,5039,5041,5047,5092],{"className":5040},[636],[573,5042,5044],{"className":5043,"style":808},[632,807],[573,5045,595],{"className":5046},[812,844],[573,5048,5050],{"className":5049},[779],[573,5051,5053,5084],{"className":5052},[820,821],[573,5054,5056,5081],{"className":5055},[825],[573,5057,5059,5070],{"className":5058,"style":4784},[829],[573,5060,5061,5064],{"style":4787},[573,5062],{"className":5063,"st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],[573,5384],{"className":5385,"style":1179},[642],[573,5387,1293],{"className":5388},[1183],[573,5390],{"className":5391,"style":1179},[642],[573,5393,5395,5398],{"className":5394},[623],[573,5396],{"className":5397,"style":4762},[627],[573,5399,5401,5407,5452],{"className":5400},[636],[573,5402,5404],{"className":5403,"style":808},[632,807],[573,5405,595],{"className":5406},[812,844],[573,5408,5410],{"className":5409},[779],[573,5411,5413,5444],{"className":5412},[820,821],[573,5414,5416,5441],{"className":5415},[825],[573,5417,5419,5430],{"className":5418,"style":4784},[829],[573,5420,5421,5424],{"style":4787},[573,5422],{"className":5423,"style":4791},[837],[573,5425,5427],{"className":5426},[636],[573,5428,3728],{"className":5429},[636],[573,5431,5432,5435],{"style":4800},[573,5433],{"className":5434,"style":4791},[837],[573,5436,5438],{"className":5437},[636],[573,5439,4745],{"className":5440},[636],[573,5442,871],{"className":5443},[870],[573,5445,5447],{"className":5446},[825],[573,5448,5450],{"className":5449,"style":4819},[829],[573,5451],{},[573,5453,5455],{"className":5454,"style":808},[663,807],[573,5456,609],{"className":5457},[812,844],[565,5459,5460,4136,5463,4130],{},[569,5461,5462],{},"Hockeyschläger:",[573,5464,5466,5562],{"className":5465},[576],[573,5467,5469],{"className":5468},[580],[582,5470,5471],{"xmlns":584},[586,5472,5473,5559],{},[589,5474,5475,5487,5489,5501,5503,5505,5507,5520,5522,5524,5526,5528,5530,5532,5534,5536,5538,5541,5543,5545,5547],{},[589,5476,5477,5479,5485],{},[592,5478,595],{"fence":619},[779,5480,5481,5483],{"linethickness":781},[604,5482,1891],{},[604,5484,1891],{},[592,5486,609],{"fence":619},[592,5488,602],{},[589,5490,5491,5493,5499],{},[592,5492,595],{"fence":619},[779,5494,5495,5497],{"linethickness":781},[604,5496,3728],{},[604,5498,1891],{},[592,5500,609],{"fence":619},[592,5502,602],{},[592,5504,687],{},[592,5506,602],{},[589,5508,5509,5511,5518],{},[592,5510,595],{"fence":619},[779,5512,5513,5516],{"linethickness":781},[604,5514,5515],{},"6",[604,5517,1891],{},[592,5519,609],{"fence":619},[592,5521,1293],{},[604,5523,606],{},[592,5525,602],{},[604,5527,3728],{},[592,5529,602],{},[604,5531,5515],{},[592,5533,602],{},[604,5535,3979],{},[592,5537,602],{},[604,5539,5540],{},"15",[592,5542,1293],{},[604,5544,4734],{},[592,5546,1293],{},[589,5548,5549,5551,5557],{},[592,5550,595],{"fence":619},[779,5552,5553,5555],{"linethickness":781},[604,5554,4745],{},[604,5556,3728],{},[592,5558,609],{"fence":619},[611,5560,5561],{"encoding":613},"\\binom{2}{2} + \\binom{3}{2} + \\ldots + \\binom{6}{2} = 1 + 3 + 6 + 10 + 15 = 35 = \\binom{7}{3}",[573,5563,5565,5646,5727,5745,5826,5844,5862,5880,5898,5916,5934],{"className":5564,"ariaHidden":619},[618],[573,5566,5568,5571,5637,5640,5643],{"className":5567},[623],[573,5569],{"className":5570,"style":3053},[627],[573,5572,5574,5580,5631],{"className":5573},[636],[573,5575,5577],{"className":5576,"style":808},[632,807],[573,5578,595],{"className":5579},[812,813],[573,5581,5583],{"className":5582},[779],[573,5584,5586,5623],{"className":5585},[820,821],[573,5587,5589,5620],{"className":5588},[825],[573,5590,5592,5606],{"className":5591,"style":1714},[829],[573,5593,5594,5597],{"style":833},[573,5595],{"className":5596,"style":838},[837],[573,5598,5600],{"className":5599},[842,843,844,845],[573,5601,5603],{"className":5602},[636,845],[573,5604,1891],{"className":5605},[636,845],[573,5607,5608,5611],{"style":854},[573,5609],{"className":5610,"style":838},[837],[573,5612,5614],{"className":5613},[842,843,844,845],[573,5615,5617],{"className":5616},[636,845],[573,5618,1891],{"className":5619},[636,845],[573,5621,871],{"className":5622},[870],[573,5624,5626],{"className":5625},[825],[573,5627,5629],{"className":5628,"style":878},[829],[573,5630],{},[573,5632,5634],{"className":5633,"style":808},[663,807],[573,5635,609],{"className":5636},[812,813],[573,5638],{"className":5639,"style":643},[642],[573,5641,602],{"className":5642},[647],[573,5644],{"className":5645,"style":643},[642],[573,5647,5649,5652,5718,5721,5724],{"className":5648},[623],[573,5650],{"className":5651,"style":3053},[627],[573,5653,5655,5661,5712],{"className":5654},[636],[573,5656,5658],{"className":5657,"style":808},[632,807],[573,5659,595],{"className":5660},[812,813],[573,5662,5664],{"className":5663},[779],[573,5665,5667,5704],{"className":5666},[820,821],[573,5668,5670,5701],{"className":5669},[825],[573,5671,5673,5687],{"className":5672,"style":1714},[829],[573,5674,5675,5678],{"style":833},[573,5676],{"className":5677,"style":838},[837],[573,5679,5681],{"className":5680},[842,843,844,845],[573,5682,5684],{"className":5683},[636,845],[573,5685,1891],{"className":5686},[636,845],[573,5688,5689,5692],{"style":854},[573,5690],{"className":5691,"style":838},[837],[573,5693,5695],{"className":5694},[842,843,844,845],[573,5696,5698],{"className":5697},[636,845],[573,5699,3728],{"className":5700},[636,845],[573,5702,871],{"className":5703},[870],[573,5705,5707],{"className":5706},[825],[573,5708,5710],{"className":5709,"style":878},[829],[573,5711],{},[573,5713,5715],{"className":5714,"style":808},[663,807],[573,5716,609],{"className":5717},[812,813],[573,5719],{"className":5720,"style":643},[642],[573,5722,602],{"className":5723},[647],[573,5725],{"className":5726,"style":643},[642],[573,5728,5730,5733,5736,5739,5742],{"className":5729},[623],[573,5731],{"className":5732,"style":918},[627],[573,5734,687],{"className":5735},[729],[573,5737],{"className":5738,"style":643},[642],[573,5740,602],{"className":5741},[647],[573,5743],{"className":5744,"style":643},[642],[573,5746,5748,5751,5817,5820,5823],{"className":5747},[623],[573,5749],{"className":5750,"style":3053},[627],[573,5752,5754,5760,5811],{"className":5753},[636],[573,5755,5757],{"className":5756,"style":808},[632,807],[573,5758,595],{"className":5759},[812,813],[573,5761,5763],{"className":5762},[779],[573,5764,5766,5803],{"className":5765},[820,821],[573,5767,5769,5800],{"className":5768},[825],[573,5770,5772,5786],{"className":5771,"style":1714},[829],[573,5773,5774,5777],{"style":833},[573,5775],{"className":5776,"style":838},[837],[573,5778,5780],{"className":5779},[842,843,844,845],[573,5781,5783],{"className":5782},[636,845],[573,5784,1891],{"className":5785},[636,845],[573,5787,5788,5791],{"style":854},[573,5789],{"className":5790,"style":838},[837],[573,5792,5794],{"className":5793},[842,843,844,845],[573,5795,5797],{"className":5796},[636,845],[573,5798,5515],{"className":5799},[636,845],[573,5801,871],{"className":5802},[870],[573,5804,5806],{"className":5805},[825],[573,5807,5809],{"className":5808,"style":878},[829],[573,5810],{},[573,5812,5814],{"className":5813,"style":808},[663,807],[573,5815,609],{"className":5816},[812,813],[573,5818],{"className":5819,"style":1179},[642],[573,5821,1293],{"className":5822},[1183],[573,5824],{"className":5825,"style":1179},[642],[573,5827,5829,5832,5835,5838,5841],{"className":5828},[623],[573,5830],{"className":5831,"style":4090},[627],[573,5833,606],{"className":5834},[636],[573,5836],{"className":5837,"style":643},[642],[573,5839,602],{"className":5840},[647],[573,5842],{"className":5843,"style":643},[642],[573,5845,5847,5850,5853,5856,5859],{"className":5846},[623],[573,5848],{"className":5849,"style":4090},[627],[573,5851,3728],{"className":5852},[636],[573,5854],{"className":5855,"style":643},[642],[573,5857,602],{"className":5858},[647],[573,5860],{"className":5861,"style":643},[642],[573,5863,5865,5868,5871,5874,5877],{"className":5864},[623],[573,5866],{"className":5867,"style":4090},[627],[573,5869,5515],{"className":5870},[636],[573,5872],{"className":5873,"style":643},[642],[573,5875,602],{"className":5876},[647],[573,5878],{"className":5879,"style":643},[642],[573,5881,5883,5886,5889,5892,5895],{"className":5882},[623],[573,5884],{"className":5885,"style":4090},[627],[573,5887,3979],{"className":5888},[636],[573,5890],{"className":5891,"style":643},[642],[573,5893,602],{"className":5894},[647],[573,5896],{"className":5897,"style":643},[642],[573,5899,5901,5904,5907,5910,5913],{"className":5900},[623],[573,5902],{"className":5903,"style":937},[627],[573,5905,5540],{"className":5906},[636],[573,5908],{"className":5909,"style":1179},[642],[573,5911,1293],{"className":5912},[1183],[573,5914],{"className":5915,"style":1179},[642],[573,5917,5919,5922,5925,5928,5931],{"className":5918},[623],[573,5920],{"className":5921,"style":937},[627],[573,5923,4734],{"className":5924},[636],[573,5926],{"className":5927,"style":1179},[642],[573,5929,1293],{"className":5930},[1183],[573,5932],{"className":5933,"style":1179},[642],[573,5935,5937,5940],{"className":5936},[623],[573,5938],{"className":5939,"style":3053},[627],[573,5941,5943,5949,6000],{"className":5942},[636],[573,5944,5946],{"className":5945,"style":808},[632,807],[573,5947,595],{"className":5948},[812,813],[573,5950,5952],{"className":5951},[779],[573,5953,5955,5992],{"className":5954},[820,821],[573,5956,5958,5989],{"className":5957},[825],[573,5959,5961,5975],{"className":5960,"style":1714},[829],[573,5962,5963,5966],{"style":833},[573,5964],{"className":5965,"style":838},[837],[573,5967,5969],{"className":5968},[842,843,844,845],[573,5970,5972],{"className":5971},[636,845],[573,5973,3728],{"className":5974},[636,845],[573,5976,5977,5980],{"style":854},[573,5978],{"className":5979,"style":838},[837],[573,5981,5983],{"className":5982},[842,843,844,845],[573,5984,5986],{"className":5985},[636,845],[573,5987,4745],{"className":5988},[636,845],[573,5990,871],{"className":5991},[870],[573,5993,5995],{"className":5994},[825],[573,5996,5998],{"className":5997,"style":878},[829],[573,5999],{},[573,6001,6003],{"className":6002,"style":808},[663,807],[573,6004,609],{"className":6005},[812,813],[565,6007,6008,1478,6010,6061,6062,4130],{},[569,6009,2802],{},[573,6011,6013,6031],{"className":6012},[576],[573,6014,6016],{"className":6015},[580],[582,6017,6018],{"xmlns":584},[586,6019,6020,6028],{},[589,6021,6022,6024,6026],{},[597,6023,692],{},[592,6025,1293],{},[604,6027,3854],{},[611,6029,6030],{"encoding":613},"n = 4",[573,6032,6034,6052],{"className":6033,"ariaHidden":619},[618],[573,6035,6037,6040,6043,6046,6049],{"className":6036},[623],[573,6038],{"className":6039,"style":997},[627],[573,6041,692],{"className":6042},[636,637],[573,6044],{"className":6045,"style":1179},[642],[573,6047,1293],{"className":6048},[1183],[573,6050],{"className":6051,"style":1179},[642],[573,6053,6055,6058],{"className":6054},[623],[573,6056],{"className":6057,"style":937},[627],[573,6059,3854],{"className":6060},[636],": ",[573,6063,6065,6115],{"className":6064},[576],[573,6066,6068],{"className":6067},[580],[582,6069,6070],{"xmlns":584},[586,6071,6072,6112],{},[589,6073,6074,6076,6078,6081,6083,6086,6088,6090,6092,6094,6096,6098,6100],{},[604,6075,606],{},[592,6077,602],{},[604,6079,6080],{},"16",[592,6082,602],{},[604,6084,6085],{},"36",[592,6087,602],{},[604,6089,6080],{},[592,6091,602],{},[604,6093,606],{},[592,6095,1293],{},[604,6097,4408],{},[592,6099,1293],{},[589,6101,6102,6104,6110],{},[592,6103,595],{"fence":619},[779,6105,6106,6108],{"linethickness":781},[604,6107,4181],{},[604,6109,3854],{},[592,6111,609],{"fence":619},[611,6113,6114],{"encoding":613},"1 + 16 + 36 + 16 + 1 = 70 = \\binom{8}{4}",[573,6116,6118,6136,6154,6172,6190,6208,6226],{"className":6117,"ariaHidden":619},[618],[573,6119,6121,6124,6127,6130,6133],{"className":6120},[623],[573,6122],{"className":6123,"style":4090},[627],[573,6125,606],{"className":6126},[636],[573,6128],{"className":6129,"style":643},[642],[573,6131,602],{"className":6132},[647],[573,6134],{"className":6135,"style":643},[642],[573,6137,6139,6142,6145,6148,6151],{"className":6138},[623],[573,6140],{"className":6141,"style":4090},[627],[573,6143,6080],{"className":6144},[636],[573,6146],{"className":6147,"style":643},[642],[573,6149,602],{"className":6150},[647],[573,6152],{"className":6153,"style":643},[642],[573,6155,6157,6160,6163,6166,6169],{"className":6156},[623],[573,6158],{"className":6159,"style":4090},[627],[573,6161,6085],{"className":6162},[636],[573,6164],{"className":6165,"style":643},[642],[573,6167,602],{"className":6168},[647],[573,6170],{"className":6171,"style":643},[642],[573,6173,6175,6178,6181,6184,6187],{"className":6174},[623],[573,6176],{"className":6177,"style":4090},[627],[573,6179,6080],{"className":6180},[636],[573,6182],{"className":6183,"style":643},[642],[573,6185,602],{"className":6186},[647],[573,6188],{"className":6189,"style":643},[642],[573,6191,6193,6196,6199,6202,6205],{"className":6192},[623],[573,6194],{"className":6195,"style":937},[627],[573,6197,606],{"className":6198},[636],[573,6200],{"className":6201,"style":1179},[642],[573,6203,1293],{"className":6204},[1183],[573,6206],{"className":6207,"style":1179},[642],[573,6209,6211,6214,6217,6220,6223],{"className":6210},[623],[573,6212],{"className":6213,"style":937},[627],[573,6215,4408],{"className":6216},[636],[573,6218],{"className":6219,"style":1179},[642],[573,6221,1293],{"className":6222},[1183],[573,6224],{"className":6225,"style":1179},[642],[573,6227,6229,6232],{"className":6228},[623],[573,6230],{"className":6231,"style":3053},[627],[573,6233,6235,6241,6292],{"className":6234},[636],[573,6236,6238],{"className":6237,"style":808},[632,807],[573,6239,595],{"className":6240},[812,813],[573,6242,6244],{"className":6243},[779],[573,6245,6247,6284],{"className":6246},[820,821],[573,6248,6250,6281],{"className":6249},[825],[573,6251,6253,6267],{"className":6252,"style":1714},[829],[573,6254,6255,6258],{"style":833},[573,6256],{"className":6257,"style":838},[837],[573,6259,6261],{"className":6260},[842,843,844,845],[573,6262,6264],{"className":6263},[636,845],[573,6265,3854],{"className":6266},[636,845],[573,6268,6269,6272],{"style":854},[573,6270],{"className":6271,"style":838},[837],[573,6273,6275],{"className":6274},[842,843,844,845],[573,6276,6278],{"className":6277},[636,845],[573,6279,4181],{"className":6280},[636,845],[573,6282,871],{"className":6283},[870],[573,6285,6287],{"className":6286},[825],[573,6288,6290],{"className":6289,"style":878},[829],[573,6291],{},[573,6293,6295],{"className":6294,"style":808},[663,807],[573,6296,609],{"className":6297},[812,813],[560,6299,6301],{"id":6300},"typische-fehler","Typische Fehler",[6303,6304,6305,6883,7544],"ul",{},[6306,6307,6308,4136,6311,6520,6521,6645,6646,6758,6759,4130],"li",{},[569,6309,6310],{},"Indizes in der Pascalschen Regel verschieben.",[573,6312,6314,6358],{"className":6313},[576],[573,6315,6317],{"className":6316},[580],[582,6318,6319],{"xmlns":584},[586,6320,6321,6355],{},[589,6322,6323,6335,6337],{},[589,6324,6325,6327,6333],{},[592,6326,595],{"fence":619},[779,6328,6329,6331],{"linethickness":781},[597,6330,692],{},[597,6332,599],{},[592,6334,609],{"fence":619},[592,6336,602],{},[589,6338,6339,6341,6353],{},[592,6340,595],{"fence":619},[779,6342,6343,6345],{"linethickness":781},[597,6344,692],{},[589,6346,6347,6349,6351],{},[597,6348,599],{},[592,6350,602],{},[604,6352,606],{},[592,6354,609],{"fence":619},[611,6356,6357],{"encoding":613},"\\binom{n}{k} + \\binom{n}{k+1}",[573,6359,6361,6442],{"className":6360,"ariaHidden":619},[618],[573,6362,6364,6367,6433,6436,6439],{"className":6363},[623],[573,6365],{"className":6366,"style":800},[627],[573,6368,6370,6376,6427],{"className":6369},[636],[573,6371,6373],{"className":6372,"style":808},[632,807],[573,6374,595],{"className":6375},[812,813],[573,6377,6379],{"className":6378},[779],[573,6380,6382,6419],{"className":6381},[820,821],[573,6383,6385,6416],{"className":6384},[825],[573,6386,6388,6402],{"className":6387,"style":830},[829],[573,6389,6390,6393],{"style":833},[573,6391],{"className":6392,"style":838},[837],[573,6394,6396],{"className":6395},[842,843,844,845],[573,6397,6399],{"className":6398},[636,845],[573,6400,599],{"className":6401,"style":638},[636,637,845],[573,6403,6404,6407],{"style":854},[573,6405],{"className":6406,"style":838},[837],[573,6408,6410],{"className":6409},[842,843,844,845],[573,6411,6413],{"className":6412},[636,845],[573,6414,692],{"className":6415},[636,637,845],[573,6417,871],{"className":6418},[870],[573,6420,6422],{"className":6421},[825],[573,6423,6425],{"className":6424,"style":878},[829],[573,6426],{},[573,6428,6430],{"className":6429,"style":808},[663,807],[573,6431,609],{"className":6432},[812,813],[573,6434],{"className":6435,"style":643},[642],[573,6437,602],{"className":6438},[647],[573,6440],{"className":6441,"style":643},[642],[573,6443,6445,6448],{"className":6444},[623],[573,6446],{"className":6447,"style":1042},[627],[573,6449,6451,6457,6514],{"className":6450},[636],[573,6452,6454],{"className":6453,"style":808},[632,807],[573,6455,595],{"className":6456},[812,813],[573,6458,6460],{"className":6459},[779],[573,6461,6463,6506],{"className":6462},[820,821],[573,6464,6466,6503],{"className":6465},[825],[573,6467,6469,6489],{"className":6468,"style":830},[829],[573,6470,6471,6474],{"style":833},[573,6472],{"className":6473,"style":838},[837],[573,6475,6477],{"className":6476},[842,843,844,845],[573,6478,6480,6483,6486],{"className":6479},[636,845],[573,6481,599],{"className":6482,"style":638},[636,637,845],[573,6484,602],{"className":6485},[647,845],[573,6487,606],{"className":6488},[636,845],[573,6490,6491,6494],{"style":854},[573,6492],{"className":6493,"style":838},[837],[573,6495,6497],{"className":6496},[842,843,844,845],[573,6498,6500],{"className":6499},[636,845],[573,6501,692],{"className":6502},[636,637,845],[573,6504,871],{"className":6505},[870],[573,6507,6509],{"className":6508},[825],[573,6510,6512],{"className":6511,"style":1107},[829],[573,6513],{},[573,6515,6517],{"className":6516,"style":808},[663,807],[573,6518,609],{"className":6519},[812,813]," ergibt 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ist im Allgemeinen nicht 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+ \\binom{4}{1} = 8",[573,7245,7247,7328,7409],{"className":7246,"ariaHidden":619},[618],[573,7248,7250,7253,7319,7322,7325],{"className":7249},[623],[573,7251],{"className":7252,"style":3053},[627],[573,7254,7256,7262,7313],{"className":7255},[636],[573,7257,7259],{"className":7258,"style":808},[632,807],[573,7260,595],{"className":7261},[812,813],[573,7263,7265],{"className":7264},[779],[573,7266,7268,7305],{"className":7267},[820,821],[573,7269,7271,7302],{"className":7270},[825],[573,7272,7274,7288],{"className":7273,"style":1714},[829],[573,7275,7276,7279],{"style":833},[573,7277],{"className":7278,"style":838},[837],[573,7280,7282],{"className":7281},[842,843,844,845],[573,7283,7285],{"className":7284},[636,845],[573,7286,606],{"className":7287},[636,845],[573,7289,7290,7293],{"style":854},[573,7291],{"className":7292,"style":838},[837],[573,7294,7296],{"className":7295},[842,843,844,845],[573,7297,7299],{"className":7298},[636,845],[573,7300,3854],{"className":7301},[636,845],[573,7303,871],{"className":7304},[870],[573,7306,7308],{"className":7307},[825],[573,7309,7311],{"className":7310,"style":878},[829],[573,7312],{},[573,7314,7316],{"className":7315,"style":808},[663,807],[573,7317,609],{"className":7318},[812,813],[573,7320],{"className":7321,"style":643},[642],[573,7323,602],{"className":7324},[647],[573,7326],{"className":7327,"style":643},[642],[573,7329,7331,7334,7400,7403,7406],{"className":7330},[623],[573,7332],{"className":7333,"style":3053},[627],[573,7335,7337,7343,7394],{"className":7336},[636],[573,7338,7340],{"className":7339,"style":808},[632,807],[573,7341,595],{"className":7342},[812,813],[573,7344,7346],{"className":7345},[779],[573,7347,7349,7386],{"className":7348},[820,821],[573,7350,7352,7383],{"className":7351},[825],[573,7353,7355,7369],{"className":7354,"style":1714},[829],[573,7356,7357,7360],{"style":833},[573,7358],{"className":7359,"style":838},[837],[573,7361,7363],{"className":7362},[842,843,844,845],[573,7364,7366],{"className":7365},[636,845],[573,7367,606],{"className":7368},[636,845],[573,7370,7371,7374],{"style":854},[573,7372],{"className":7373,"style":838},[837],[573,7375,7377],{"className":7376},[842,843,844,845],[573,7378,7380],{"className":7379},[636,845],[573,7381,3854],{"className":7382},[636,845],[573,7384,871],{"className":7385},[870],[573,7387,7389],{"className":7388},[825],[573,7390,7392],{"className":7391,"style":878},[829],[573,7393],{},[573,7395,7397],{"className":7396,"style":808},[663,807],[573,7398,609],{"className":7399},[812,813],[573,7401],{"className":7402,"style":1179},[642],[573,7404,1293],{"className":7405},[1183],[573,7407],{"className":7408,"style":1179},[642],[573,7410,7412,7415],{"className":7411},[623],[573,7413],{"className":7414,"style":937},[627],[573,7416,4181],{"className":7417},[636],", aber ",[573,7420,7422,7450],{"className":7421},[576],[573,7423,7425],{"className":7424},[580],[582,7426,7427],{"xmlns":584},[586,7428,7429,7447],{},[589,7430,7431,7443,7445],{},[589,7432,7433,7435,7441],{},[592,7434,595],{"fence":619},[779,7436,7437,7439],{"linethickness":781},[604,7438,3854],{},[604,7440,1891],{},[592,7442,609],{"fence":619},[592,7444,1293],{},[604,7446,5515],{},[611,7448,7449],{"encoding":613},"\\binom{4}{2} = 6",[573,7451,7453,7534],{"className":7452,"ariaHidden":619},[618],[573,7454,7456,7459,7525,7528,7531],{"className":7455},[623],[573,7457],{"className":7458,"style":3053},[627],[573,7460,7462,7468,7519],{"className":7461},[636],[573,7463,7465],{"className":7464,"style":808},[632,807],[573,7466,595],{"className":7467},[812,813],[573,7469,7471],{"className":7470},[779],[573,7472,7474,7511],{"className":7473},[820,821],[573,7475,7477,7508],{"className":7476},[825],[573,7478,7480,7494],{"className":7479,"style":1714},[829],[573,7481,7482,7485],{"style":833},[573,7483],{"className":7484,"style":838},[837],[573,7486,7488],{"className":7487},[842,843,844,845],[573,7489,7491],{"className":7490},[636,845],[573,7492,1891],{"className":7493},[636,845],[573,7495,7496,7499],{"style":854},[573,7497],{"className":7498,"style":838},[837],[573,7500,7502],{"className":7501},[842,843,844,845],[573,7503,7505],{"className":7504},[636,845],[573,7506,3854],{"className":7507},[636,845],[573,7509,871],{"className":7510},[870],[573,7512,7514],{"className":7513},[825],[573,7515,7517],{"className":7516,"style":878},[829],[573,7518],{},[573,7520,7522],{"className":7521,"style":808},[663,807],[573,7523,609],{"className":7524},[812,813],[573,7526],{"className":7527,"style":1179},[642],[573,7529,1293],{"className":7530},[1183],[573,7532],{"className":7533,"style":1179},[642],[573,7535,7537,7540],{"className":7536},[623],[573,7538],{"className":7539,"style":937},[627],[573,7541,5515],{"className":7542},[636],". Die Pascalsche Regel addiert nur Nachbarn in derselben Zeile.",[6306,7545,7546,7600,7601,6645,7725,4130],{},[569,7547,7548,7549,4130],{},"Alternierende Summe für ",[573,7550,7552,7570],{"className":7551},[576],[573,7553,7555],{"className":7554},[580],[582,7556,7557],{"xmlns":584},[586,7558,7559,7567],{},[589,7560,7561,7563,7565],{},[597,7562,692],{},[592,7564,1293],{},[604,7566,1150],{},[611,7568,7569],{"encoding":613},"n = 0",[573,7571,7573,7591],{"className":7572,"ariaHidden":619},[618],[573,7574,7576,7579,7582,7585,7588],{"className":7575},[623],[573,7577],{"className":7578,"style":997},[627],[573,7580,692],{"className":7581},[636,637],[573,7583],{"className":7584,"style":1179},[642],[573,7586,1293],{"className":7587},[1183],[573,7589],{"className":7590,"style":1179},[642],[573,7592,7594,7597],{"className":7593},[623],[573,7595],{"className":7596,"style":937},[627],[573,7598,1150],{"className":7599},[636]," Dort ist sie ",[573,7602,7604,7632],{"className":7603},[576],[573,7605,7607],{"className":7606},[580],[582,7608,7609],{"xmlns":584},[586,7610,7611,7629],{},[589,7612,7613,7625,7627],{},[589,7614,7615,7617,7623],{},[592,7616,595],{"fence":619},[779,7618,7619,7621],{"linethickness":781},[604,7620,1150],{},[604,7622,1150],{},[592,7624,609],{"fence":619},[592,7626,1293],{},[604,7628,606],{},[611,7630,7631],{"encoding":613},"\\binom{0}{0} = 1",[573,7633,7635,7716],{"className":7634,"ariaHidden":619},[618],[573,7636,7638,7641,7707,7710,7713],{"className":7637},[623],[573,7639],{"className":7640,"style":3053},[627],[573,7642,7644,7650,7701],{"className":7643},[636],[573,7645,7647],{"className":7646,"style":808},[632,807],[573,7648,595],{"className":7649},[812,813],[573,7651,7653],{"className":7652},[779],[573,7654,7656,7693],{"className":7655},[820,821],[573,7657,7659,7690],{"className":7658},[825],[573,7660,7662,7676],{"className":7661,"style":1714},[829],[573,7663,7664,7667],{"style":833},[573,7665],{"className":7666,"style":838},[837],[573,7668,7670],{"className":7669},[842,843,844,845],[573,7671,7673],{"className":7672},[636,845],[573,7674,1150],{"className":7675},[636,845],[573,7677,7678,7681],{"style":854},[573,7679],{"className":7680,"style":838},[837],[573,7682,7684],{"className":7683},[842,843,844,845],[573,7685,7687],{"className":7686},[636,845],[573,7688,1150],{"className":7689},[636,845],[573,7691,871],{"className":7692},[870],[573,7694,7696],{"className":7695},[825],[573,7697,7699],{"className":7698,"style":878},[829],[573,7700],{},[573,7702,7704],{"className":7703,"style":808},[663,807],[573,7705,609],{"className":7706},[812,813],[573,7708],{"className":7709,"style":1179},[642],[573,7711,1293],{"className":7712},[1183],[573,7714],{"className":7715,"style":1179},[642],[573,7717,7719,7722],{"className":7718},[623],[573,7720],{"className":7721,"style":937},[627],[573,7723,606],{"className":7724},[636],[573,7726,7728,7741],{"className":7727},[576],[573,7729,7731],{"className":7730},[580],[582,7732,7733],{"xmlns":584},[586,7734,7735,7739],{},[589,7736,7737],{},[604,7738,1150],{},[611,7740,1150],{"encoding":613},[573,7742,7744],{"className":7743,"ariaHidden":619},[618],[573,7745,7747,7750],{"className":7746},[623],[573,7748],{"className":7749,"style":937},[627],[573,7751,1150],{"className":7752},[636],{"title":7754,"searchDepth":7755,"depth":7755,"links":7756},"",2,[7757,7758,7759],{"id":562,"depth":7755,"text":563},{"id":3697,"depth":7755,"text":3698},{"id":6300,"depth":7755,"text":6301},[7761,7767,7770,7772,7773,7779,7784,7787,7790,7792,7795,7797,7800,7802,7804,7806],{"lhs":7762,"rhs":7763,"where":7764},"combinations(n, k) + combinations(n, k + 1)","combinations(n + 1, k + 1)",{"n":7765,"k":7766},7,3,{"lhs":7768,"rhs":7769},"combinations(9, 3) + combinations(9, 4)","combinations(10, 4)",{"lhs":7771,"rhs":3996},"84 + 126",{"lhs":7769,"rhs":3996},{"lhs":7774,"rhs":7775,"where":7776},"combinations(n, k)","combinations(n, n - k)",{"n":7777,"k":7778},12,5,{"lhs":7780,"rhs":7781,"where":7782},"k*combinations(n, k)","n*combinations(n - 1, k - 1)",{"n":7783,"k":7778},9,{"lhs":7785,"rhs":7786},"5*126","9*70",{"lhs":7788,"rhs":7789},"sum(map(0:6, f(j) = combinations(6, j)))","2^6",{"lhs":7791,"rhs":1150},"1 - 5 + 10 - 10 + 5 - 1",{"lhs":7793,"rhs":7794},"combinations(3, 0)*combinations(4, 3) + combinations(3, 1)*combinations(4, 2) + combinations(3, 2)*combinations(4, 1) + combinations(3, 3)*combinations(4, 0)","combinations(7, 3)",{"lhs":7796,"rhs":4734},"4 + 18 + 12 + 1",{"lhs":7798,"rhs":7799},"1 + 16 + 36 + 16 + 1","combinations(8, 4)",{"lhs":7801,"rhs":7794},"combinations(2, 2) + combinations(3, 2) + combinations(4, 2) + combinations(5, 2) + combinations(6, 2)",{"lhs":7803,"rhs":4734},"1 + 3 + 6 + 10 + 15",{"lhs":7805,"rhs":4181},"combinations(4, 1) + combinations(4, 1)",{"lhs":7807,"rhs":5515},"combinations(4, 2)","n, k \\in \\mathbb{N}_0;\\ \\binom{n}{k} = 0 \\text{ für } k > n","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmsub>\u003Cmi mathvariant=\"double-struck\">N\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">;\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n, k \\in \\mathbb{N}_0;\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathbb\">N\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">;\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmfrac linethickness=\"0px\">\u003Cmi>n\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmfrac>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\binom{n}{k} = 0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.2em;vertical-align:-0.35em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size1\">(\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7454em;\">\u003Cspan style=\"top:-2.355em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.144em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.345em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size1\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">für\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>>\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k > n\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7335em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","binomial-identities","\\binom{n}{k} + \\binom{n}{k+1} = \\binom{n+1}{k+1}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmfrac linethickness=\"0px\">\u003Cmi>n\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmfrac>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmo>+\u003C\u002Fmo>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmfrac linethickness=\"0px\">\u003Cmi>n\u003C\u002Fmi>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmo>=\u003C\u002Fmo>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmfrac linethickness=\"0px\">\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\binom{n}{k} + \\binom{n}{k+1} = \\binom{n+1}{k+1}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.4em;vertical-align:-0.95em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size3\">(\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.1076em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan 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