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Die Sterne vor dem ersten Strich gehören zur Sorte ",[574,782,784,797],{"className":783},[577],[574,785,787],{"className":786},[581],[583,788,789],{"xmlns":585},[587,790,791,795],{},[590,792,793],{},[739,794,741],{},[597,796,741],{"encoding":599},[574,798,800],{"className":799,"ariaHidden":604},[603],[574,801,803,806],{"className":802},[608],[574,804],{"className":805,"style":776},[612],[574,807,741],{"className":808},[617],", die zwischen erstem und zweitem Strich zur Sorte ",[574,811,813,827],{"className":812},[577],[574,814,816],{"className":815},[581],[583,817,818],{"xmlns":585},[587,819,820,825],{},[590,821,822],{},[739,823,824],{},"2",[597,826,824],{"encoding":599},[574,828,830],{"className":829,"ariaHidden":604},[603],[574,831,833,836],{"className":832},[608],[574,834],{"className":835,"style":776},[612],[574,837,824],{"className":838},[617]," und so weiter. Bei ",[574,841,843,863],{"className":842},[577],[574,844,846],{"className":845},[581],[583,847,848],{"xmlns":585},[587,849,850,860],{},[590,851,852,854,857],{},[593,853,595],{},[735,855,856],{},"=",[739,858,859],{},"3",[597,861,862],{"encoding":599},"n = 3",[574,864,866,886],{"className":865,"ariaHidden":604},[603],[574,867,869,872,875,879,883],{"className":868},[608],[574,870],{"className":871,"style":613},[612],[574,873,595],{"className":874},[617,618],[574,876],{"className":877,"style":878},[761],"margin-right:0.2778em;",[574,880,856],{"className":881},[882],"mrel",[574,884],{"className":885,"style":878},[761],[574,887,889,892],{"className":888},[608],[574,890],{"className":891,"style":776},[612],[574,893,859],{"className":894},[617]," und ",[574,897,899,918],{"className":898},[577],[574,900,902],{"className":901},[581],[583,903,904],{"xmlns":585},[587,905,906,915],{},[590,907,908,910,912],{},[593,909,634],{},[735,911,856],{},[739,913,914],{},"4",[597,916,917],{"encoding":599},"k = 4",[574,919,921,939],{"className":920,"ariaHidden":604},[603],[574,922,924,927,930,933,936],{"className":923},[608],[574,925],{"className":926,"style":646},[612],[574,928,634],{"className":929,"style":650},[617,618],[574,931],{"className":932,"style":878},[761],[574,934,856],{"className":935},[882],[574,937],{"className":938,"style":878},[761],[574,940,942,945],{"className":941},[608],[574,943],{"className":944,"style":776},[612],[574,946,914],{"className":947},[617]," steht etwa ",[574,950,952,983],{"className":951},[577],[574,953,955],{"className":954},[581],[583,956,957],{"xmlns":585},[587,958,959,980],{},[590,960,961,964,966,970,974,976,978],{},[735,962,963],{},"⋆",[735,965,963],{},[593,967,969],{"mathvariant":968},"normal","∣",[971,972,973],"mtext",{}," ",[593,975,969],{"mathvariant":968},[735,977,963],{},[735,979,963],{},[597,981,982],{"encoding":599},"\\star\\star|\\,|\\star\\star",[574,984,986,1005,1031],{"className":985,"ariaHidden":604},[603],[574,987,989,993,996,999,1002],{"className":988},[608],[574,990],{"className":991,"style":992},[612],"height:0.4653em;",[574,994,963],{"className":995},[617],[574,997],{"className":998,"style":762},[761],[574,1000,963],{"className":1001},[766],[574,1003],{"className":1004,"style":762},[761],[574,1006,1008,1012,1015,1019,1022,1025,1028],{"className":1007},[608],[574,1009],{"className":1010,"style":1011},[612],"height:1em;vertical-align:-0.25em;",[574,1013,969],{"className":1014},[617],[574,1016],{"className":1017,"style":1018},[761],"margin-right:0.1667em;",[574,1020,969],{"className":1021},[617],[574,1023],{"className":1024,"style":762},[761],[574,1026,963],{"className":1027},[766],[574,1029],{"className":1030,"style":762},[761],[574,1032,1034,1037],{"className":1033},[608],[574,1035],{"className":1036,"style":992},[612],[574,1038,963],{"className":1039},[617]," für zweimal Sorte ",[574,1042,1044,1057],{"className":1043},[577],[574,1045,1047],{"className":1046},[581],[583,1048,1049],{"xmlns":585},[587,1050,1051,1055],{},[590,1052,1053],{},[739,1054,741],{},[597,1056,741],{"encoding":599},[574,1058,1060],{"className":1059,"ariaHidden":604},[603],[574,1061,1063,1066],{"className":1062},[608],[574,1064],{"className":1065,"style":776},[612],[574,1067,741],{"className":1068},[617],", keinmal Sorte ",[574,1071,1073,1086],{"className":1072},[577],[574,1074,1076],{"className":1075},[581],[583,1077,1078],{"xmlns":585},[587,1079,1080,1084],{},[590,1081,1082],{},[739,1083,824],{},[597,1085,824],{"encoding":599},[574,1087,1089],{"className":1088,"ariaHidden":604},[603],[574,1090,1092,1095],{"className":1091},[608],[574,1093],{"className":1094,"style":776},[612],[574,1096,824],{"className":1097},[617],", zweimal Sorte ",[574,1100,1102,1115],{"className":1101},[577],[574,1103,1105],{"className":1104},[581],[583,1106,1107],{"xmlns":585},[587,1108,1109,1113],{},[590,1110,1111],{},[739,1112,859],{},[597,1114,859],{"encoding":599},[574,1116,1118],{"className":1117,"ariaHidden":604},[603],[574,1119,1121,1124],{"className":1120},[608],[574,1122],{"className":1123,"style":776},[612],[574,1125,859],{"className":1126},[617],". Jede Auswahl entspricht genau einer solchen Folge der Länge ",[574,1129,1131,1154],{"className":1130},[577],[574,1132,1134],{"className":1133},[581],[583,1135,1136],{"xmlns":585},[587,1137,1138,1151],{},[590,1139,1140,1142,1145,1147,1149],{},[593,1141,595],{},[735,1143,1144],{},"+",[593,1146,634],{},[735,1148,737],{},[739,1150,741],{},[597,1152,1153],{"encoding":599},"n + k - 1",[574,1155,1157,1175,1194],{"className":1156,"ariaHidden":604},[603],[574,1158,1160,1163,1166,1169,1172],{"className":1159},[608],[574,1161],{"className":1162,"style":754},[612],[574,1164,595],{"className":1165},[617,618],[574,1167],{"className":1168,"style":762},[761],[574,1170,1144],{"className":1171},[766],[574,1173],{"className":1174,"style":762},[761],[574,1176,1178,1182,1185,1188,1191],{"className":1177},[608],[574,1179],{"className":1180,"style":1181},[612],"height:0.7778em;vertical-align:-0.0833em;",[574,1183,634],{"className":1184,"style":650},[617,618],[574,1186],{"className":1187,"style":762},[761],[574,1189,737],{"className":1190},[766],[574,1192],{"className":1193,"style":762},[761],[574,1195,1197,1200],{"className":1196},[608],[574,1198],{"className":1199,"style":776},[612],[574,1201,741],{"className":1202},[617],". Man muss nur festlegen, welche ",[574,1205,1207,1220],{"className":1206},[577],[574,1208,1210],{"className":1209},[581],[583,1211,1212],{"xmlns":585},[587,1213,1214,1218],{},[590,1215,1216],{},[593,1217,634],{},[597,1219,634],{"encoding":599},[574,1221,1223],{"className":1222,"ariaHidden":604},[603],[574,1224,1226,1229],{"className":1225},[608],[574,1227],{"className":1228,"style":646},[612],[574,1230,634],{"className":1231,"style":650},[617,618]," Positionen Sterne sind, daher ",[574,1234,1236,1272],{"className":1235},[577],[574,1237,1239],{"className":1238},[581],[583,1240,1241],{"xmlns":585},[587,1242,1243,1269],{},[590,1244,1245,1248,1266],{},[735,1246,1247],{"fence":604},"(",[1249,1250,1252,1264],"mfrac",{"linethickness":1251},"0px",[590,1253,1254,1256,1258,1260,1262],{},[593,1255,595],{},[735,1257,1144],{},[593,1259,634],{},[735,1261,737],{},[739,1263,741],{},[593,1265,634],{},[735,1267,1268],{"fence":604},")",[597,1270,1271],{"encoding":599},"\\binom{n+k-1}{k}",[574,1273,1275],{"className":1274,"ariaHidden":604},[603],[574,1276,1278,1282],{"className":1277},[608],[574,1279],{"className":1280,"style":1281},[612],"height:1.2801em;vertical-align:-0.35em;",[574,1283,1285,1296,1375],{"className":1284},[617],[574,1286,1291],{"className":1287,"style":1290},[1288,1289],"mopen","delimcenter","top:0em;",[574,1292,1247],{"className":1293},[1294,1295],"delimsizing","size1",[574,1297,1299],{"className":1298},[1249],[574,1300,1304,1366],{"className":1301},[1302,1303],"vlist-t","vlist-t2",[574,1305,1308,1361],{"className":1306},[1307],"vlist-r",[574,1309,1313,1334],{"className":1310,"style":1312},[1311],"vlist","height:0.9301em;",[574,1314,1316,1321],{"style":1315},"top:-2.355em;",[574,1317],{"className":1318,"style":1320},[1319],"pstrut","height:2.7em;",[574,1322,1328],{"className":1323},[1324,1325,1326,1327],"sizing","reset-size6","size3","mtight",[574,1329,1331],{"className":1330},[617,1327],[574,1332,634],{"className":1333,"style":650},[617,618,1327],[574,1335,1337,1340],{"style":1336},"top:-3.144em;",[574,1338],{"className":1339,"style":1320},[1319],[574,1341,1343],{"className":1342},[1324,1325,1326,1327],[574,1344,1346,1349,1352,1355,1358],{"className":1345},[617,1327],[574,1347,595],{"className":1348},[617,618,1327],[574,1350,1144],{"className":1351},[766,1327],[574,1353,634],{"className":1354,"style":650},[617,618,1327],[574,1356,737],{"className":1357},[766,1327],[574,1359,741],{"className":1360},[617,1327],[574,1362,1365],{"className":1363},[1364],"vlist-s","​",[574,1367,1369],{"className":1368},[1307],[574,1370,1373],{"className":1371,"style":1372},[1311],"height:0.345em;",[574,1374],{},[574,1376,1379],{"className":1377,"style":1290},[1378,1289],"mclose",[574,1380,1268],{"className":1381},[1294,1295],[565,1383,1384,1385,1521,1522,1624,1625,1678],{},"Gleichwertig ist ",[574,1386,1388,1426],{"className":1387},[577],[574,1389,1391],{"className":1390},[581],[583,1392,1393],{"xmlns":585},[587,1394,1395,1423],{},[590,1396,1397,1399,1421],{},[735,1398,1247],{"fence":604},[1249,1400,1401,1413],{"linethickness":1251},[590,1402,1403,1405,1407,1409,1411],{},[593,1404,595],{},[735,1406,1144],{},[593,1408,634],{},[735,1410,737],{},[739,1412,741],{},[590,1414,1415,1417,1419],{},[593,1416,595],{},[735,1418,737],{},[739,1420,741],{},[735,1422,1268],{"fence":604},[597,1424,1425],{"encoding":599},"\\binom{n+k-1}{n-1}",[574,1427,1429],{"className":1428,"ariaHidden":604},[603],[574,1430,1432,1436],{"className":1431},[608],[574,1433],{"className":1434,"style":1435},[612],"height:1.3334em;vertical-align:-0.4033em;",[574,1437,1439,1445,1515],{"className":1438},[617],[574,1440,1442],{"className":1441,"style":1290},[1288,1289],[574,1443,1247],{"className":1444},[1294,1295],[574,1446,1448],{"className":1447},[1249],[574,1449,1451,1506],{"className":1450},[1302,1303],[574,1452,1454,1503],{"className":1453},[1307],[574,1455,1457,1477],{"className":1456,"style":1312},[1311],[574,1458,1459,1462],{"style":1315},[574,1460],{"className":1461,"style":1320},[1319],[574,1463,1465],{"className":1464},[1324,1325,1326,1327],[574,1466,1468,1471,1474],{"className":1467},[617,1327],[574,1469,595],{"className":1470},[617,618,1327],[574,1472,737],{"className":1473},[766,1327],[574,1475,741],{"className":1476},[617,1327],[574,1478,1479,1482],{"style":1336},[574,1480],{"className":1481,"style":1320},[1319],[574,1483,1485],{"className":1484},[1324,1325,1326,1327],[574,1486,1488,1491,1494,1497,1500],{"className":1487},[617,1327],[574,1489,595],{"className":1490},[617,618,1327],[574,1492,1144],{"className":1493},[766,1327],[574,1495,634],{"className":1496,"style":650},[617,618,1327],[574,1498,737],{"className":1499},[766,1327],[574,1501,741],{"className":1502},[617,1327],[574,1504,1365],{"className":1505},[1364],[574,1507,1509],{"className":1508},[1307],[574,1510,1513],{"className":1511,"style":1512},[1311],"height:0.4033em;",[574,1514],{},[574,1516,1518],{"className":1517,"style":1290},[1378,1289],[574,1519,1268],{"className":1520},[1294,1295]," (Positionen der Striche). Im Gegensatz zu ",[574,1523,1525,1547],{"className":1524},[577],[574,1526,1528],{"className":1527},[581],[583,1529,1530],{"xmlns":585},[587,1531,1532,1544],{},[590,1533,1534,1536,1542],{},[735,1535,1247],{"fence":604},[1249,1537,1538,1540],{"linethickness":1251},[593,1539,595],{},[593,1541,634],{},[735,1543,1268],{"fence":604},[597,1545,1546],{"encoding":599},"\\binom{n}{k}",[574,1548,1550],{"className":1549,"ariaHidden":604},[603],[574,1551,1553,1557],{"className":1552},[608],[574,1554],{"className":1555,"style":1556},[612],"height:1.2em;vertical-align:-0.35em;",[574,1558,1560,1566,1618],{"className":1559},[617],[574,1561,1563],{"className":1562,"style":1290},[1288,1289],[574,1564,1247],{"className":1565},[1294,1295],[574,1567,1569],{"className":1568},[1249],[574,1570,1572,1610],{"className":1571},[1302,1303],[574,1573,1575,1607],{"className":1574},[1307],[574,1576,1579,1593],{"className":1577,"style":1578},[1311],"height:0.7454em;",[574,1580,1581,1584],{"style":1315},[574,1582],{"className":1583,"style":1320},[1319],[574,1585,1587],{"className":1586},[1324,1325,1326,1327],[574,1588,1590],{"className":1589},[617,1327],[574,1591,634],{"className":1592,"style":650},[617,618,1327],[574,1594,1595,1598],{"style":1336},[574,1596],{"className":1597,"style":1320},[1319],[574,1599,1601],{"className":1600},[1324,1325,1326,1327],[574,1602,1604],{"className":1603},[617,1327],[574,1605,595],{"className":1606},[617,618,1327],[574,1608,1365],{"className":1609},[1364],[574,1611,1613],{"className":1612},[1307],[574,1614,1616],{"className":1615,"style":1372},[1311],[574,1617],{},[574,1619,1621],{"className":1620,"style":1290},[1378,1289],[574,1622,1268],{"className":1623},[1294,1295]," darf hier ",[574,1626,1628,1647],{"className":1627},[577],[574,1629,1631],{"className":1630},[581],[583,1632,1633],{"xmlns":585},[587,1634,1635,1644],{},[590,1636,1637,1639,1642],{},[593,1638,634],{},[735,1640,1641],{},">",[593,1643,595],{},[597,1645,1646],{"encoding":599},"k > n",[574,1648,1650,1669],{"className":1649,"ariaHidden":604},[603],[574,1651,1653,1657,1660,1663,1666],{"className":1652},[608],[574,1654],{"className":1655,"style":1656},[612],"height:0.7335em;vertical-align:-0.0391em;",[574,1658,634],{"className":1659,"style":650},[617,618],[574,1661],{"className":1662,"style":878},[761],[574,1664,1641],{"className":1665},[882],[574,1667],{"className":1668,"style":878},[761],[574,1670,1672,1675],{"className":1671},[608],[574,1673],{"className":1674,"style":613},[612],[574,1676,595],{"className":1677},[617,618]," sein.",[565,1680,1681,1682,1685,1686,1749],{},"Die so gezählten Ergebnisse sind im Allgemeinen ",[569,1683,1684],{},"nicht gleich wahrscheinlich",". Für Laplace-Wahrscheinlichkeiten muss man deshalb meist mit geordneten Tupeln (",[574,1687,1689,1708],{"className":1688},[577],[574,1690,1692],{"className":1691},[581],[583,1693,1694],{"xmlns":585},[587,1695,1696,1705],{},[590,1697,1698],{},[1699,1700,1701,1703],"msup",{},[593,1702,595],{},[593,1704,634],{},[597,1706,1707],{"encoding":599},"n^k",[574,1709,1711],{"className":1710,"ariaHidden":604},[603],[574,1712,1714,1718],{"className":1713},[608],[574,1715],{"className":1716,"style":1717},[612],"height:0.8491em;",[574,1719,1721,1724],{"className":1720},[617],[574,1722,595],{"className":1723},[617,618],[574,1725,1728],{"className":1726},[1727],"msupsub",[574,1729,1731],{"className":1730},[1302],[574,1732,1734],{"className":1733},[1307],[574,1735,1737],{"className":1736,"style":1717},[1311],[574,1738,1740,1743],{"style":1739},"top:-3.063em;margin-right:0.05em;",[574,1741],{"className":1742,"style":1320},[1319],[574,1744,1746],{"className":1745},[1324,1325,1326,1327],[574,1747,634],{"className":1748,"style":650},[617,618,1327],") rechnen.",[560,1751,1753],{"id":1752},"beispiele","Beispiele",[565,1755,1756,1757,1785,1786,1814],{},"Eine Eisdiele hat ",[574,1758,1760,1773],{"className":1759},[577],[574,1761,1763],{"className":1762},[581],[583,1764,1765],{"xmlns":585},[587,1766,1767,1771],{},[590,1768,1769],{},[739,1770,859],{},[597,1772,859],{"encoding":599},[574,1774,1776],{"className":1775,"ariaHidden":604},[603],[574,1777,1779,1782],{"className":1778},[608],[574,1780],{"className":1781,"style":776},[612],[574,1783,859],{"className":1784},[617]," Sorten. Im Becher sind ",[574,1787,1789,1802],{"className":1788},[577],[574,1790,1792],{"className":1791},[581],[583,1793,1794],{"xmlns":585},[587,1795,1796,1800],{},[590,1797,1798],{},[739,1799,914],{},[597,1801,914],{"encoding":599},[574,1803,1805],{"className":1804,"ariaHidden":604},[603],[574,1806,1808,1811],{"className":1807},[608],[574,1809],{"className":1810,"style":776},[612],[574,1812,914],{"className":1813},[617]," Kugeln, die Anordnung ist egal:",[574,1816,1819],{"className":1817},[1818],"katex-display",[574,1820,1822,1882],{"className":1821},[577],[574,1823,1825],{"className":1824},[581],[583,1826,1828],{"xmlns":585,"display":1827},"block",[587,1829,1830,1879],{},[590,1831,1832,1835,1837,1859,1861,1874,1876],{},[593,1833,1834],{},"N",[735,1836,856],{},[590,1838,1839,1841,1857],{},[735,1840,1247],{"fence":604},[1249,1842,1843,1855],{"linethickness":1251},[590,1844,1845,1847,1849,1851,1853],{},[739,1846,859],{},[735,1848,1144],{},[739,1850,914],{},[735,1852,737],{},[739,1854,741],{},[739,1856,914],{},[735,1858,1268],{"fence":604},[735,1860,856],{},[590,1862,1863,1865,1872],{},[735,1864,1247],{"fence":604},[1249,1866,1867,1870],{"linethickness":1251},[739,1868,1869],{},"6",[739,1871,914],{},[735,1873,1268],{"fence":604},[735,1875,856],{},[739,1877,1878],{},"15",[597,1880,1881],{"encoding":599},"N = \\binom{3 + 4 - 1}{4} = \\binom{6}{4} = 15",[574,1883,1885,1905,2010,2085],{"className":1884,"ariaHidden":604},[603],[574,1886,1888,1892,1896,1899,1902],{"className":1887},[608],[574,1889],{"className":1890,"style":1891},[612],"height:0.6833em;",[574,1893,1834],{"className":1894,"style":1895},[617,618],"margin-right:0.109em;",[574,1897],{"className":1898,"style":878},[761],[574,1900,856],{"className":1901},[882],[574,1903],{"className":1904,"style":878},[761],[574,1906,1908,1912,2001,2004,2007],{"className":1907},[608],[574,1909],{"className":1910,"style":1911},[612],"height:2.4em;vertical-align:-0.95em;",[574,1913,1915,1921,1995],{"className":1914},[617],[574,1916,1918],{"className":1917,"style":1290},[1288,1289],[574,1919,1247],{"className":1920},[1294,1326],[574,1922,1924],{"className":1923},[1249],[574,1925,1927,1986],{"className":1926},[1302,1303],[574,1928,1930,1983],{"className":1929},[1307],[574,1931,1934,1947],{"className":1932,"style":1933},[1311],"height:1.3214em;",[574,1935,1937,1941],{"style":1936},"top:-2.314em;",[574,1938],{"className":1939,"style":1940},[1319],"height:3em;",[574,1942,1944],{"className":1943},[617],[574,1945,914],{"className":1946},[617],[574,1948,1950,1953],{"style":1949},"top:-3.677em;",[574,1951],{"className":1952,"style":1940},[1319],[574,1954,1956,1959,1962,1965,1968,1971,1974,1977,1980],{"className":1955},[617],[574,1957,859],{"className":1958},[617],[574,1960],{"className":1961,"style":762},[761],[574,1963,1144],{"className":1964},[766],[574,1966],{"className":1967,"style":762},[761],[574,1969,914],{"className":1970},[617],[574,1972],{"className":1973,"style":762},[761],[574,1975,737],{"className":1976},[766],[574,1978],{"className":1979,"style":762},[761],[574,1981,741],{"className":1982},[617],[574,1984,1365],{"className":1985},[1364],[574,1987,1989],{"className":1988},[1307],[574,1990,1993],{"className":1991,"style":1992},[1311],"height:0.686em;",[574,1994],{},[574,1996,1998],{"className":1997,"style":1290},[1378,1289],[574,1999,1268],{"className":2000},[1294,1326],[574,2002],{"className":2003,"style":878},[761],[574,2005,856],{"className":2006},[882],[574,2008],{"className":2009,"style":878},[761],[574,2011,2013,2016,2076,2079,2082],{"className":2012},[608],[574,2014],{"className":2015,"style":1911},[612],[574,2017,2019,2025,2070],{"className":2018},[617],[574,2020,2022],{"className":2021,"style":1290},[1288,1289],[574,2023,1247],{"className":2024},[1294,1326],[574,2026,2028],{"className":2027},[1249],[574,2029,2031,2062],{"className":2030},[1302,1303],[574,2032,2034,2059],{"className":2033},[1307],[574,2035,2037,2048],{"className":2036,"style":1933},[1311],[574,2038,2039,2042],{"style":1936},[574,2040],{"className":2041,"style":1940},[1319],[574,2043,2045],{"className":2044},[617],[574,2046,914],{"className":2047},[617],[574,2049,2050,2053],{"style":1949},[574,2051],{"className":2052,"style":1940},[1319],[574,2054,2056],{"className":2055},[617],[574,2057,1869],{"className":2058},[617],[574,2060,1365],{"className":2061},[1364],[574,2063,2065],{"className":2064},[1307],[574,2066,2068],{"className":2067,"style":1992},[1311],[574,2069],{},[574,2071,2073],{"className":2072,"style":1290},[1378,1289],[574,2074,1268],{"className":2075},[1294,1326],[574,2077],{"className":2078,"style":878},[761],[574,2080,856],{"className":2081},[882],[574,2083],{"className":2084,"style":878},[761],[574,2086,2088,2091],{"className":2087},[608],[574,2089],{"className":2090,"style":776},[612],[574,2092,1878],{"className":2093},[617],[565,2095,2096,2097,2148,2149,2200],{},"Zwei gleich aussehende Würfel werden geworfen, notiert wird nur das Augenpaar ohne Reihenfolge (",[574,2098,2100,2118],{"className":2099},[577],[574,2101,2103],{"className":2102},[581],[583,2104,2105],{"xmlns":585},[587,2106,2107,2115],{},[590,2108,2109,2111,2113],{},[593,2110,595],{},[735,2112,856],{},[739,2114,1869],{},[597,2116,2117],{"encoding":599},"n = 6",[574,2119,2121,2139],{"className":2120,"ariaHidden":604},[603],[574,2122,2124,2127,2130,2133,2136],{"className":2123},[608],[574,2125],{"className":2126,"style":613},[612],[574,2128,595],{"className":2129},[617,618],[574,2131],{"className":2132,"style":878},[761],[574,2134,856],{"className":2135},[882],[574,2137],{"className":2138,"style":878},[761],[574,2140,2142,2145],{"className":2141},[608],[574,2143],{"className":2144,"style":776},[612],[574,2146,1869],{"className":2147},[617],", ",[574,2150,2152,2170],{"className":2151},[577],[574,2153,2155],{"className":2154},[581],[583,2156,2157],{"xmlns":585},[587,2158,2159,2167],{},[590,2160,2161,2163,2165],{},[593,2162,634],{},[735,2164,856],{},[739,2166,824],{},[597,2168,2169],{"encoding":599},"k = 2",[574,2171,2173,2191],{"className":2172,"ariaHidden":604},[603],[574,2174,2176,2179,2182,2185,2188],{"className":2175},[608],[574,2177],{"className":2178,"style":646},[612],[574,2180,634],{"className":2181,"style":650},[617,618],[574,2183],{"className":2184,"style":878},[761],[574,2186,856],{"className":2187},[882],[574,2189],{"className":2190,"style":878},[761],[574,2192,2194,2197],{"className":2193},[608],[574,2195],{"className":2196,"style":776},[612],[574,2198,824],{"className":2199},[617],"):",[574,2202,2204],{"className":2203},[1818],[574,2205,2207,2265],{"className":2206},[577],[574,2208,2210],{"className":2209},[581],[583,2211,2212],{"xmlns":585,"display":1827},[587,2213,2214,2262],{},[590,2215,2216,2218,2220,2242,2244,2257,2259],{},[593,2217,1834],{},[735,2219,856],{},[590,2221,2222,2224,2240],{},[735,2223,1247],{"fence":604},[1249,2225,2226,2238],{"linethickness":1251},[590,2227,2228,2230,2232,2234,2236],{},[739,2229,1869],{},[735,2231,1144],{},[739,2233,824],{},[735,2235,737],{},[739,2237,741],{},[739,2239,824],{},[735,2241,1268],{"fence":604},[735,2243,856],{},[590,2245,2246,2248,2255],{},[735,2247,1247],{"fence":604},[1249,2249,2250,2253],{"linethickness":1251},[739,2251,2252],{},"7",[739,2254,824],{},[735,2256,1268],{"fence":604},[735,2258,856],{},[739,2260,2261],{},"21",[597,2263,2264],{"encoding":599},"N = \\binom{6 + 2 - 1}{2} = \\binom{7}{2} = 21",[574,2266,2268,2286,2385,2460],{"className":2267,"ariaHidden":604},[603],[574,2269,2271,2274,2277,2280,2283],{"className":2270},[608],[574,2272],{"className":2273,"style":1891},[612],[574,2275,1834],{"className":2276,"style":1895},[617,618],[574,2278],{"className":2279,"style":878},[761],[574,2281,856],{"className":2282},[882],[574,2284],{"className":2285,"style":878},[761],[574,2287,2289,2292,2376,2379,2382],{"className":2288},[608],[574,2290],{"className":2291,"style":1911},[612],[574,2293,2295,2301,2370],{"className":2294},[617],[574,2296,2298],{"className":2297,"style":1290},[1288,1289],[574,2299,1247],{"className":2300},[1294,1326],[574,2302,2304],{"className":2303},[1249],[574,2305,2307,2362],{"className":2306},[1302,1303],[574,2308,2310,2359],{"className":2309},[1307],[574,2311,2313,2324],{"className":2312,"style":1933},[1311],[574,2314,2315,2318],{"style":1936},[574,2316],{"className":2317,"style":1940},[1319],[574,2319,2321],{"className":2320},[617],[574,2322,824],{"className":2323},[617],[574,2325,2326,2329],{"style":1949},[574,2327],{"className":2328,"style":1940},[1319],[574,2330,2332,2335,2338,2341,2344,2347,2350,2353,2356],{"className":2331},[617],[574,2333,1869],{"className":2334},[617],[574,2336],{"className":2337,"style":762},[761],[574,2339,1144],{"className":2340},[766],[574,2342],{"className":2343,"style":762},[761],[574,2345,824],{"className":2346},[617],[574,2348],{"className":2349,"style":762},[761],[574,2351,737],{"className":2352},[766],[574,2354],{"className":2355,"style":762},[761],[574,2357,741],{"className":2358},[617],[574,2360,1365],{"className":2361},[1364],[574,2363,2365],{"className":2364},[1307],[574,2366,2368],{"className":2367,"style":1992},[1311],[574,2369],{},[574,2371,2373],{"className":2372,"style":1290},[1378,1289],[574,2374,1268],{"className":2375},[1294,1326],[574,2377],{"className":2378,"style":878},[761],[574,2380,856],{"className":2381},[882],[574,2383],{"className":2384,"style":878},[761],[574,2386,2388,2391,2451,2454,2457],{"className":2387},[608],[574,2389],{"className":2390,"style":1911},[612],[574,2392,2394,2400,2445],{"className":2393},[617],[574,2395,2397],{"className":2396,"style":1290},[1288,1289],[574,2398,1247],{"className":2399},[1294,1326],[574,2401,2403],{"className":2402},[1249],[574,2404,2406,2437],{"className":2405},[1302,1303],[574,2407,2409,2434],{"className":2408},[1307],[574,2410,2412,2423],{"className":2411,"style":1933},[1311],[574,2413,2414,2417],{"style":1936},[574,2415],{"className":2416,"style":1940},[1319],[574,2418,2420],{"className":2419},[617],[574,2421,824],{"className":2422},[617],[574,2424,2425,2428],{"style":1949},[574,2426],{"className":2427,"style":1940},[1319],[574,2429,2431],{"className":2430},[617],[574,2432,2252],{"className":2433},[617],[574,2435,1365],{"className":2436},[1364],[574,2438,2440],{"className":2439},[1307],[574,2441,2443],{"className":2442,"style":1992},[1311],[574,2444],{},[574,2446,2448],{"className":2447,"style":1290},[1378,1289],[574,2449,1268],{"className":2450},[1294,1326],[574,2452],{"className":2453,"style":878},[761],[574,2455,856],{"className":2456},[882],[574,2458],{"className":2459,"style":878},[761],[574,2461,2463,2466],{"className":2462},[608],[574,2464],{"className":2465,"style":776},[612],[574,2467,2261],{"className":2468},[617],[565,2470,2471,2472,2598,2599,2627,2628,684],{},"Kontrolle: ",[574,2473,2475,2503],{"className":2474},[577],[574,2476,2478],{"className":2477},[581],[583,2479,2480],{"xmlns":585},[587,2481,2482,2500],{},[590,2483,2484,2496,2498],{},[590,2485,2486,2488,2494],{},[735,2487,1247],{"fence":604},[1249,2489,2490,2492],{"linethickness":1251},[739,2491,1869],{},[739,2493,824],{},[735,2495,1268],{"fence":604},[735,2497,856],{},[739,2499,1878],{},[597,2501,2502],{"encoding":599},"\\binom{6}{2} = 15",[574,2504,2506,2589],{"className":2505,"ariaHidden":604},[603],[574,2507,2509,2513,2580,2583,2586],{"className":2508},[608],[574,2510],{"className":2511,"style":2512},[612],"height:1.2451em;vertical-align:-0.35em;",[574,2514,2516,2522,2574],{"className":2515},[617],[574,2517,2519],{"className":2518,"style":1290},[1288,1289],[574,2520,1247],{"className":2521},[1294,1295],[574,2523,2525],{"className":2524},[1249],[574,2526,2528,2566],{"className":2527},[1302,1303],[574,2529,2531,2563],{"className":2530},[1307],[574,2532,2535,2549],{"className":2533,"style":2534},[1311],"height:0.8951em;",[574,2536,2537,2540],{"style":1315},[574,2538],{"className":2539,"style":1320},[1319],[574,2541,2543],{"className":2542},[1324,1325,1326,1327],[574,2544,2546],{"className":2545},[617,1327],[574,2547,824],{"className":2548},[617,1327],[574,2550,2551,2554],{"style":1336},[574,2552],{"className":2553,"style":1320},[1319],[574,2555,2557],{"className":2556},[1324,1325,1326,1327],[574,2558,2560],{"className":2559},[617,1327],[574,2561,1869],{"className":2562},[617,1327],[574,2564,1365],{"className":2565},[1364],[574,2567,2569],{"className":2568},[1307],[574,2570,2572],{"className":2571,"style":1372},[1311],[574,2573],{},[574,2575,2577],{"className":2576,"style":1290},[1378,1289],[574,2578,1268],{"className":2579},[1294,1295],[574,2581],{"className":2582,"style":878},[761],[574,2584,856],{"className":2585},[882],[574,2587],{"className":2588,"style":878},[761],[574,2590,2592,2595],{"className":2591},[608],[574,2593],{"className":2594,"style":776},[612],[574,2596,1878],{"className":2597},[617]," Paare mit verschiedenen Augen plus ",[574,2600,2602,2615],{"className":2601},[577],[574,2603,2605],{"className":2604},[581],[583,2606,2607],{"xmlns":585},[587,2608,2609,2613],{},[590,2610,2611],{},[739,2612,1869],{},[597,2614,1869],{"encoding":599},[574,2616,2618],{"className":2617,"ariaHidden":604},[603],[574,2619,2621,2624],{"className":2620},[608],[574,2622],{"className":2623,"style":776},[612],[574,2625,1869],{"className":2626},[617]," Pasche ergibt ",[574,2629,2631,2644],{"className":2630},[577],[574,2632,2634],{"className":2633},[581],[583,2635,2636],{"xmlns":585},[587,2637,2638,2642],{},[590,2639,2640],{},[739,2641,2261],{},[597,2643,2261],{"encoding":599},[574,2645,2647],{"className":2646,"ariaHidden":604},[603],[574,2648,2650,2653],{"className":2649},[608],[574,2651],{"className":2652,"style":776},[612],[574,2654,2261],{"className":2655},[617],[565,2657,2658,2687,2688,2716,2717,684],{},[574,2659,2661,2675],{"className":2660},[577],[574,2662,2664],{"className":2663},[581],[583,2665,2666],{"xmlns":585},[587,2667,2668,2673],{},[590,2669,2670],{},[739,2671,2672],{},"10",[597,2674,2672],{"encoding":599},[574,2676,2678],{"className":2677,"ariaHidden":604},[603],[574,2679,2681,2684],{"className":2680},[608],[574,2682],{"className":2683,"style":776},[612],[574,2685,2672],{"className":2686},[617]," gleiche Bonbons werden auf ",[574,2689,2691,2704],{"className":2690},[577],[574,2692,2694],{"className":2693},[581],[583,2695,2696],{"xmlns":585},[587,2697,2698,2702],{},[590,2699,2700],{},[739,2701,914],{},[597,2703,914],{"encoding":599},[574,2705,2707],{"className":2706,"ariaHidden":604},[603],[574,2708,2710,2713],{"className":2709},[608],[574,2711],{"className":2712,"style":776},[612],[574,2714,914],{"className":2715},[617]," Kinder verteilt, jedes darf leer ausgehen: ",[574,2718,2720,2774],{"className":2719},[577],[574,2721,2723],{"className":2722},[581],[583,2724,2725],{"xmlns":585},[587,2726,2727,2771],{},[590,2728,2729,2751,2753,2766,2768],{},[590,2730,2731,2733,2749],{},[735,2732,1247],{"fence":604},[1249,2734,2735,2747],{"linethickness":1251},[590,2736,2737,2739,2741,2743,2745],{},[739,2738,914],{},[735,2740,1144],{},[739,2742,2672],{},[735,2744,737],{},[739,2746,741],{},[739,2748,2672],{},[735,2750,1268],{"fence":604},[735,2752,856],{},[590,2754,2755,2757,2764],{},[735,2756,1247],{"fence":604},[1249,2758,2759,2762],{"linethickness":1251},[739,2760,2761],{},"13",[739,2763,2672],{},[735,2765,1268],{"fence":604},[735,2767,856],{},[739,2769,2770],{},"286",[597,2772,2773],{"encoding":599},"\\binom{4 + 10 - 1}{10} = \\binom{13}{10} = 286",[574,2775,2777,2870,2951],{"className":2776,"ariaHidden":604},[603],[574,2778,2780,2783,2861,2864,2867],{"className":2779},[608],[574,2781],{"className":2782,"style":2512},[612],[574,2784,2786,2792,2855],{"className":2785},[617],[574,2787,2789],{"className":2788,"style":1290},[1288,1289],[574,2790,1247],{"className":2791},[1294,1295],[574,2793,2795],{"className":2794},[1249],[574,2796,2798,2847],{"className":2797},[1302,1303],[574,2799,2801,2844],{"className":2800},[1307],[574,2802,2804,2818],{"className":2803,"style":2534},[1311],[574,2805,2806,2809],{"style":1315},[574,2807],{"className":2808,"style":1320},[1319],[574,2810,2812],{"className":2811},[1324,1325,1326,1327],[574,2813,2815],{"className":2814},[617,1327],[574,2816,2672],{"className":2817},[617,1327],[574,2819,2820,2823],{"style":1336},[574,2821],{"className":2822,"style":1320},[1319],[574,2824,2826],{"className":2825},[1324,1325,1326,1327],[574,2827,2829,2832,2835,2838,2841],{"className":2828},[617,1327],[574,2830,914],{"className":2831},[617,1327],[574,2833,1144],{"className":2834},[766,1327],[574,2836,2672],{"className":2837},[617,1327],[574,2839,737],{"className":2840},[766,1327],[574,2842,741],{"className":2843},[617,1327],[574,2845,1365],{"className":2846},[1364],[574,2848,2850],{"className":2849},[1307],[574,2851,2853],{"className":2852,"style":1372},[1311],[574,2854],{},[574,2856,2858],{"className":2857,"style":1290},[1378,1289],[574,2859,1268],{"className":2860},[1294,1295],[574,2862],{"className":2863,"style":878},[761],[574,2865,856],{"className":2866},[882],[574,2868],{"className":2869,"style":878},[761],[574,2871,2873,2876,2942,2945,2948],{"className":2872},[608],[574,2874],{"className":2875,"style":2512},[612],[574,2877,2879,2885,2936],{"className":2878},[617],[574,2880,2882],{"className":2881,"style":1290},[1288,1289],[574,2883,1247],{"className":2884},[1294,1295],[574,2886,2888],{"className":2887},[1249],[574,2889,2891,2928],{"className":2890},[1302,1303],[574,2892,2894,2925],{"className":2893},[1307],[574,2895,2897,2911],{"className":2896,"style":2534},[1311],[574,2898,2899,2902],{"style":1315},[574,2900],{"className":2901,"style":1320},[1319],[574,2903,2905],{"className":2904},[1324,1325,1326,1327],[574,2906,2908],{"className":2907},[617,1327],[574,2909,2672],{"className":2910},[617,1327],[574,2912,2913,2916],{"style":1336},[574,2914],{"className":2915,"style":1320},[1319],[574,2917,2919],{"className":2918},[1324,1325,1326,1327],[574,2920,2922],{"className":2921},[617,1327],[574,2923,2761],{"className":2924},[617,1327],[574,2926,1365],{"className":2927},[1364],[574,2929,2931],{"className":2930},[1307],[574,2932,2934],{"className":2933,"style":1372},[1311],[574,2935],{},[574,2937,2939],{"className":2938,"style":1290},[1378,1289],[574,2940,1268],{"className":2941},[1294,1295],[574,2943],{"className":2944,"style":878},[761],[574,2946,856],{"className":2947},[882],[574,2949],{"className":2950,"style":878},[761],[574,2952,2954,2957],{"className":2953},[608],[574,2955],{"className":2956,"style":776},[612],[574,2958,2770],{"className":2959},[617],[560,2961,2963],{"id":2962},"typische-fehler","Typische Fehler",[2965,2966,2967,3200,3345,3666],"ul",{},[2968,2969,2970,3069,3070,3073,3074,3199],"li",{},[574,2971,2973,2994],{"className":2972},[577],[574,2974,2976],{"className":2975},[581],[583,2977,2978],{"xmlns":585},[587,2979,2980,2992],{},[590,2981,2982,2984,2990],{},[735,2983,1247],{"fence":604},[1249,2985,2986,2988],{"linethickness":1251},[593,2987,595],{},[593,2989,634],{},[735,2991,1268],{"fence":604},[597,2993,1546],{"encoding":599},[574,2995,2997],{"className":2996,"ariaHidden":604},[603],[574,2998,3000,3003],{"className":2999},[608],[574,3001],{"className":3002,"style":1556},[612],[574,3004,3006,3012,3063],{"className":3005},[617],[574,3007,3009],{"className":3008,"style":1290},[1288,1289],[574,3010,1247],{"className":3011},[1294,1295],[574,3013,3015],{"className":3014},[1249],[574,3016,3018,3055],{"className":3017},[1302,1303],[574,3019,3021,3052],{"className":3020},[1307],[574,3022,3024,3038],{"className":3023,"style":1578},[1311],[574,3025,3026,3029],{"style":1315},[574,3027],{"className":3028,"style":1320},[1319],[574,3030,3032],{"className":3031},[1324,1325,1326,1327],[574,3033,3035],{"className":3034},[617,1327],[574,3036,634],{"className":3037,"style":650},[617,618,1327],[574,3039,3040,3043],{"style":1336},[574,3041],{"className":3042,"style":1320},[1319],[574,3044,3046],{"className":3045},[1324,1325,1326,1327],[574,3047,3049],{"className":3048},[617,1327],[574,3050,595],{"className":3051},[617,618,1327],[574,3053,1365],{"className":3054},[1364],[574,3056,3058],{"className":3057},[1307],[574,3059,3061],{"className":3060,"style":1372},[1311],[574,3062],{},[574,3064,3066],{"className":3065,"style":1290},[1378,1289],[574,3067,1268],{"className":3068},[1294,1295]," verwenden. Das zählt Auswahlen ",[569,3071,3072],{},"ohne"," Wiederholung; beim Eis wäre ",[574,3075,3077,3106],{"className":3076},[577],[574,3078,3080],{"className":3079},[581],[583,3081,3082],{"xmlns":585},[587,3083,3084,3103],{},[590,3085,3086,3098,3100],{},[590,3087,3088,3090,3096],{},[735,3089,1247],{"fence":604},[1249,3091,3092,3094],{"linethickness":1251},[739,3093,859],{},[739,3095,914],{},[735,3097,1268],{"fence":604},[735,3099,856],{},[739,3101,3102],{},"0",[597,3104,3105],{"encoding":599},"\\binom{3}{4} = 0",[574,3107,3109,3190],{"className":3108,"ariaHidden":604},[603],[574,3110,3112,3115,3181,3184,3187],{"className":3111},[608],[574,3113],{"className":3114,"style":2512},[612],[574,3116,3118,3124,3175],{"className":3117},[617],[574,3119,3121],{"className":3120,"style":1290},[1288,1289],[574,3122,1247],{"className":3123},[1294,1295],[574,3125,3127],{"className":3126},[1249],[574,3128,3130,3167],{"className":3129},[1302,1303],[574,3131,3133,3164],{"className":3132},[1307],[574,3134,3136,3150],{"className":3135,"style":2534},[1311],[574,3137,3138,3141],{"style":1315},[574,3139],{"className":3140,"style":1320},[1319],[574,3142,3144],{"className":3143},[1324,1325,1326,1327],[574,3145,3147],{"className":3146},[617,1327],[574,3148,914],{"className":3149},[617,1327],[574,3151,3152,3155],{"style":1336},[574,3153],{"className":3154,"style":1320},[1319],[574,3156,3158],{"className":3157},[1324,1325,1326,1327],[574,3159,3161],{"className":3160},[617,1327],[574,3162,859],{"className":3163},[617,1327],[574,3165,1365],{"className":3166},[1364],[574,3168,3170],{"className":3169},[1307],[574,3171,3173],{"className":3172,"style":1372},[1311],[574,3174],{},[574,3176,3178],{"className":3177,"style":1290},[1378,1289],[574,3179,1268],{"className":3180},[1294,1295],[574,3182],{"className":3183,"style":878},[761],[574,3185,856],{"className":3186},[882],[574,3188],{"className":3189,"style":878},[761],[574,3191,3193,3196],{"className":3192},[608],[574,3194],{"className":3195,"style":776},[612],[574,3197,3102],{"className":3198},[617]," offensichtlich falsch.",[2968,3201,3202,3260,3261,3344],{},[574,3203,3205,3222],{"className":3204},[577],[574,3206,3208],{"className":3207},[581],[583,3209,3210],{"xmlns":585},[587,3211,3212,3220],{},[590,3213,3214],{},[1699,3215,3216,3218],{},[593,3217,595],{},[593,3219,634],{},[597,3221,1707],{"encoding":599},[574,3223,3225],{"className":3224,"ariaHidden":604},[603],[574,3226,3228,3231],{"className":3227},[608],[574,3229],{"className":3230,"style":1717},[612],[574,3232,3234,3237],{"className":3233},[617],[574,3235,595],{"className":3236},[617,618],[574,3238,3240],{"className":3239},[1727],[574,3241,3243],{"className":3242},[1302],[574,3244,3246],{"className":3245},[1307],[574,3247,3249],{"className":3248,"style":1717},[1311],[574,3250,3251,3254],{"style":1739},[574,3252],{"className":3253,"style":1320},[1319],[574,3255,3257],{"className":3256},[1324,1325,1326,1327],[574,3258,634],{"className":3259,"style":650},[617,618,1327]," verwenden. ",[574,3262,3264,3287],{"className":3263},[577],[574,3265,3267],{"className":3266},[581],[583,3268,3269],{"xmlns":585},[587,3270,3271,3284],{},[590,3272,3273,3279,3281],{},[1699,3274,3275,3277],{},[739,3276,859],{},[739,3278,914],{},[735,3280,856],{},[739,3282,3283],{},"81",[597,3285,3286],{"encoding":599},"3^4 = 81",[574,3288,3290,3335],{"className":3289,"ariaHidden":604},[603],[574,3291,3293,3297,3326,3329,3332],{"className":3292},[608],[574,3294],{"className":3295,"style":3296},[612],"height:0.8141em;",[574,3298,3300,3303],{"className":3299},[617],[574,3301,859],{"className":3302},[617],[574,3304,3306],{"className":3305},[1727],[574,3307,3309],{"className":3308},[1302],[574,3310,3312],{"className":3311},[1307],[574,3313,3315],{"className":3314,"style":3296},[1311],[574,3316,3317,3320],{"style":1739},[574,3318],{"className":3319,"style":1320},[1319],[574,3321,3323],{"className":3322},[1324,1325,1326,1327],[574,3324,914],{"className":3325},[617,1327],[574,3327],{"className":3328,"style":878},[761],[574,3330,856],{"className":3331},[882],[574,3333],{"className":3334,"style":878},[761],[574,3336,3338,3341],{"className":3337},[608],[574,3339],{"className":3340,"style":776},[612],[574,3342,3283],{"className":3343},[617]," zählt geordnete Auswahlen, bei denen „Vanille, dann Schoko“ und „Schoko, dann Vanille“ verschieden sind.",[2968,3346,3347,3348,3376,3377,3484,3485,3583,3584,3665],{},"Die ",[574,3349,3351,3364],{"className":3350},[577],[574,3352,3354],{"className":3353},[581],[583,3355,3356],{"xmlns":585},[587,3357,3358,3362],{},[590,3359,3360],{},[739,3361,2261],{},[597,3363,2261],{"encoding":599},[574,3365,3367],{"className":3366,"ariaHidden":604},[603],[574,3368,3370,3373],{"className":3369},[608],[574,3371],{"className":3372,"style":776},[612],[574,3374,2261],{"className":3375},[617]," Augenpaare als gleich wahrscheinlich ansehen. Ein Pasch hat die Wahrscheinlichkeit ",[574,3378,3380,3399],{"className":3379},[577],[574,3381,3383],{"className":3382},[581],[583,3384,3385],{"xmlns":585},[587,3386,3387,3396],{},[590,3388,3389],{},[1249,3390,3391,3393],{},[739,3392,741],{},[739,3394,3395],{},"36",[597,3397,3398],{"encoding":599},"\\frac{1}{36}",[574,3400,3402],{"className":3401,"ariaHidden":604},[603],[574,3403,3405,3409],{"className":3404},[608],[574,3406],{"className":3407,"style":3408},[612],"height:1.1901em;vertical-align:-0.345em;",[574,3410,3412,3416,3481],{"className":3411},[617],[574,3413],{"className":3414},[1288,3415],"nulldelimiter",[574,3417,3419],{"className":3418},[1249],[574,3420,3422,3473],{"className":3421},[1302,1303],[574,3423,3425,3470],{"className":3424},[1307],[574,3426,3429,3444,3455],{"className":3427,"style":3428},[1311],"height:0.8451em;",[574,3430,3432,3435],{"style":3431},"top:-2.655em;",[574,3433],{"className":3434,"style":1940},[1319],[574,3436,3438],{"className":3437},[1324,1325,1326,1327],[574,3439,3441],{"className":3440},[617,1327],[574,3442,3395],{"className":3443},[617,1327],[574,3445,3447,3450],{"style":3446},"top:-3.23em;",[574,3448],{"className":3449,"style":1940},[1319],[574,3451],{"className":3452,"style":3454},[3453],"frac-line","border-bottom-width:0.04em;",[574,3456,3458,3461],{"style":3457},"top:-3.394em;",[574,3459],{"className":3460,"style":1940},[1319],[574,3462,3464],{"className":3463},[1324,1325,1326,1327],[574,3465,3467],{"className":3466},[617,1327],[574,3468,741],{"className":3469},[617,1327],[574,3471,1365],{"className":3472},[1364],[574,3474,3476],{"className":3475},[1307],[574,3477,3479],{"className":3478,"style":1372},[1311],[574,3480],{},[574,3482],{"className":3483},[1378,3415],", ein gemischtes Paar ",[574,3486,3488,3506],{"className":3487},[577],[574,3489,3491],{"className":3490},[581],[583,3492,3493],{"xmlns":585},[587,3494,3495,3503],{},[590,3496,3497],{},[1249,3498,3499,3501],{},[739,3500,824],{},[739,3502,3395],{},[597,3504,3505],{"encoding":599},"\\frac{2}{36}",[574,3507,3509],{"className":3508,"ariaHidden":604},[603],[574,3510,3512,3515],{"className":3511},[608],[574,3513],{"className":3514,"style":3408},[612],[574,3516,3518,3521,3580],{"className":3517},[617],[574,3519],{"className":3520},[1288,3415],[574,3522,3524],{"className":3523},[1249],[574,3525,3527,3572],{"className":3526},[1302,1303],[574,3528,3530,3569],{"className":3529},[1307],[574,3531,3533,3547,3555],{"className":3532,"style":3428},[1311],[574,3534,3535,3538],{"style":3431},[574,3536],{"className":3537,"style":1940},[1319],[574,3539,3541],{"className":3540},[1324,1325,1326,1327],[574,3542,3544],{"className":3543},[617,1327],[574,3545,3395],{"className":3546},[617,1327],[574,3548,3549,3552],{"style":3446},[574,3550],{"className":3551,"style":1940},[1319],[574,3553],{"className":3554,"style":3454},[3453],[574,3556,3557,3560],{"style":3457},[574,3558],{"className":3559,"style":1940},[1319],[574,3561,3563],{"className":3562},[1324,1325,1326,1327],[574,3564,3566],{"className":3565},[617,1327],[574,3567,824],{"className":3568},[617,1327],[574,3570,1365],{"className":3571},[1364],[574,3573,3575],{"className":3574},[1307],[574,3576,3578],{"className":3577,"style":1372},[1311],[574,3579],{},[574,3581],{"className":3582},[1378,3415],", denn es gibt ",[574,3585,3587,3609],{"className":3586},[577],[574,3588,3590],{"className":3589},[581],[583,3591,3592],{"xmlns":585},[587,3593,3594,3606],{},[590,3595,3596,3602,3604],{},[1699,3597,3598,3600],{},[739,3599,1869],{},[739,3601,824],{},[735,3603,856],{},[739,3605,3395],{},[597,3607,3608],{"encoding":599},"6^2 = 36",[574,3610,3612,3656],{"className":3611,"ariaHidden":604},[603],[574,3613,3615,3618,3647,3650,3653],{"className":3614},[608],[574,3616],{"className":3617,"style":3296},[612],[574,3619,3621,3624],{"className":3620},[617],[574,3622,1869],{"className":3623},[617],[574,3625,3627],{"className":3626},[1727],[574,3628,3630],{"className":3629},[1302],[574,3631,3633],{"className":3632},[1307],[574,3634,3636],{"className":3635,"style":3296},[1311],[574,3637,3638,3641],{"style":1739},[574,3639],{"className":3640,"style":1320},[1319],[574,3642,3644],{"className":3643},[1324,1325,1326,1327],[574,3645,824],{"className":3646},[617,1327],[574,3648],{"className":3649,"style":878},[761],[574,3651,856],{"className":3652},[882],[574,3654],{"className":3655,"style":878},[761],[574,3657,3659,3662],{"className":3658},[608],[574,3660],{"className":3661,"style":776},[612],[574,3663,3395],{"className":3664},[617]," gleich wahrscheinliche geordnete Ergebnisse.",[2968,3667,3668,895,3696,3724,3725,3846,3847,3875,3876,3904],{},[574,3669,3671,3684],{"className":3670},[577],[574,3672,3674],{"className":3673},[581],[583,3675,3676],{"xmlns":585},[587,3677,3678,3682],{},[590,3679,3680],{},[593,3681,595],{},[597,3683,595],{"encoding":599},[574,3685,3687],{"className":3686,"ariaHidden":604},[603],[574,3688,3690,3693],{"className":3689},[608],[574,3691],{"className":3692,"style":613},[612],[574,3694,595],{"className":3695},[617,618],[574,3697,3699,3712],{"className":3698},[577],[574,3700,3702],{"className":3701},[581],[583,3703,3704],{"xmlns":585},[587,3705,3706,3710],{},[590,3707,3708],{},[593,3709,634],{},[597,3711,634],{"encoding":599},[574,3713,3715],{"className":3714,"ariaHidden":604},[603],[574,3716,3718,3721],{"className":3717},[608],[574,3719],{"className":3720,"style":646},[612],[574,3722,634],{"className":3723,"style":650},[617,618]," in ",[574,3726,3728,3759],{"className":3727},[577],[574,3729,3731],{"className":3730},[581],[583,3732,3733],{"xmlns":585},[587,3734,3735,3757],{},[590,3736,3737,3739,3755],{},[735,3738,1247],{"fence":604},[1249,3740,3741,3753],{"linethickness":1251},[590,3742,3743,3745,3747,3749,3751],{},[593,3744,595],{},[735,3746,1144],{},[593,3748,634],{},[735,3750,737],{},[739,3752,741],{},[593,3754,634],{},[735,3756,1268],{"fence":604},[597,3758,1271],{"encoding":599},[574,3760,3762],{"className":3761,"ariaHidden":604},[603],[574,3763,3765,3768],{"className":3764},[608],[574,3766],{"className":3767,"style":1281},[612],[574,3769,3771,3777,3840],{"className":3770},[617],[574,3772,3774],{"className":3773,"style":1290},[1288,1289],[574,3775,1247],{"className":3776},[1294,1295],[574,3778,3780],{"className":3779},[1249],[574,3781,3783,3832],{"className":3782},[1302,1303],[574,3784,3786,3829],{"className":3785},[1307],[574,3787,3789,3803],{"className":3788,"style":1312},[1311],[574,3790,3791,3794],{"style":1315},[574,3792],{"className":3793,"style":1320},[1319],[574,3795,3797],{"className":3796},[1324,1325,1326,1327],[574,3798,3800],{"className":3799},[617,1327],[574,3801,634],{"className":3802,"style":650},[617,618,1327],[574,3804,3805,3808],{"style":1336},[574,3806],{"className":3807,"style":1320},[1319],[574,3809,3811],{"className":3810},[1324,1325,1326,1327],[574,3812,3814,3817,3820,3823,3826],{"className":3813},[617,1327],[574,3815,595],{"className":3816},[617,618,1327],[574,3818,1144],{"className":3819},[766,1327],[574,3821,634],{"className":3822,"style":650},[617,618,1327],[574,3824,737],{"className":3825},[766,1327],[574,3827,741],{"className":3828},[617,1327],[574,3830,1365],{"className":3831},[1364],[574,3833,3835],{"className":3834},[1307],[574,3836,3838],{"className":3837,"style":1372},[1311],[574,3839],{},[574,3841,3843],{"className":3842,"style":1290},[1378,1289],[574,3844,1268],{"className":3845},[1294,1295]," vertauschen. ",[574,3848,3850,3863],{"className":3849},[577],[574,3851,3853],{"className":3852},[581],[583,3854,3855],{"xmlns":585},[587,3856,3857,3861],{},[590,3858,3859],{},[593,3860,595],{},[597,3862,595],{"encoding":599},[574,3864,3866],{"className":3865,"ariaHidden":604},[603],[574,3867,3869,3872],{"className":3868},[608],[574,3870],{"className":3871,"style":613},[612],[574,3873,595],{"className":3874},[617,618]," ist die Zahl der Sorten, ",[574,3877,3879,3892],{"className":3878},[577],[574,3880,3882],{"className":3881},[581],[583,3883,3884],{"xmlns":585},[587,3885,3886,3890],{},[590,3887,3888],{},[593,3889,634],{},[597,3891,634],{"encoding":599},[574,3893,3895],{"className":3894,"ariaHidden":604},[603],[574,3896,3898,3901],{"className":3897},[608],[574,3899],{"className":3900,"style":646},[612],[574,3902,634],{"className":3903,"style":650},[617,618]," die Zahl der gewählten Objekte.",{"title":3906,"searchDepth":3907,"depth":3907,"links":3908},"",2,[3909,3910,3911],{"id":562,"depth":3907,"text":563},{"id":1752,"depth":3907,"text":1753},{"id":2962,"depth":3907,"text":2963},[3913,3919,3921,3923,3925,3927,3929],{"lhs":3914,"rhs":3915,"where":3916},"combinations(n + k - 1, k)","combinations(n + k - 1, n - 1)",{"n":3917,"k":3918},5,7,{"lhs":3920,"rhs":1878},"combinations(3 + 4 - 1, 4)",{"lhs":3922,"rhs":2261},"combinations(6 + 2 - 1, 2)",{"lhs":3924,"rhs":2261},"combinations(6, 2) + 6",{"lhs":3926,"rhs":2770},"combinations(4 + 10 - 1, 10)",{"lhs":3928,"rhs":3283},"3^4",{"lhs":3930,"rhs":3395},"6^2","n \\geq 1,\\ k \\in \\mathbb{N}_0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\geq 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:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\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:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\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>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmsub>\u003Cmi mathvariant=\"double-struck\">N\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">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:0.7335em;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:0.8389em;vertical-align:-0.15em;\">\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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","combinations-with-repetition","N = \\binom{n+k-1}{k}","\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>\u003Cmi>N\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmfrac linethickness=\"0px\">\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmfrac>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">N = \\binom{n+k-1}{k}\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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">N\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: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:1.3714em;\">\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>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\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:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size3\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fkombination-mit-wiederholung",[],[3944,3945,3946,3947],"binomial-coefficient","tuples-with-repetition","ordered-without-repetition","stars-and-bars",{"title":548,"description":3906},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fkombination-mit-wiederholung","Wer k Objekte aus n Sorten wählt, mit Wiederholung und ohne Reihenfolge, hat (n+k−1 über k) Möglichkeiten.",[3952,3953,3954,3955],"kombinatorik","binomialkoeffizient","multimenge","urnenmodell",[3957,3960,3963,3966],{"symbol":1834,"meaning":3958,"symbolHtml":3959},"Anzahl der Möglichkeiten","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>N\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">N\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":595,"meaning":3961,"symbolHtml":3962},"Anzahl der verschiedenen Sorten, aus denen gewählt wird","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":634,"meaning":3964,"symbolHtml":3965},"Anzahl der gewählten Objekte","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k\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:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":1271,"meaning":3967,"symbolHtml":3968},"Binomialkoeffizient „n+k−1 über k“","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmfrac linethickness=\"0px\">\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmfrac>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\binom{n+k-1}{k}\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:1.2801em;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:0.9301em;\">\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>\u003Cspan class=\"mbin mtight\">+\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","rxFm60MztASHzkdlAGNfmeHUoG0zdZ5Y1g4oGM_wkHU",[3971,3974,3977,3980],{"stem":3972,"title":3973,"category":187},"de\u002Fformulas\u002Fmath\u002Fdiscrete-math\u002Fverteilung-kugeln-auf-urnen","Verteilung von Kugeln auf Urnen",{"stem":3975,"title":3976,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fbinomialkoeffizient","Binomialkoeffizient",{"stem":3978,"title":3979,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fvariation-mit-wiederholung","Variation mit Wiederholung",{"stem":3981,"title":3982,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fvariation-ohne-wiederholung","Variation ohne Wiederholung",1793824285991]