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Nach dem ",[569,1032,1033],{},"Zählprinzip"," (Produktregel) werden diese Anzahlen multipliziert.",[565,1036,1037,1038,1095,1096,1131],{},"Festgelegt ist ",[574,1039,1041,1062],{"className":1040},[577],[574,1042,1044],{"className":1043},[581],[583,1045,1046],{"xmlns":585},[587,1047,1048,1059],{},[590,1049,1050,1053,1055,1057],{},[661,1051,1052],{},"0",[640,1054,643],{"stretchy":642},[640,1056,646],{},[661,1058,663],{},[597,1060,1061],{"encoding":599},"0! = 1",[574,1063,1065,1086],{"className":1064,"ariaHidden":604},[603],[574,1066,1068,1071,1074,1077,1080,1083],{"className":1067},[608],[574,1069],{"className":1070,"style":693},[612],[574,1072,1052],{"className":1073},[617],[574,1075,643],{"className":1076},[700],[574,1078],{"className":1079,"style":705},[704],[574,1081,646],{"className":1082},[709],[574,1084],{"className":1085,"style":705},[704],[574,1087,1089,1092],{"className":1088},[608],[574,1090],{"className":1091,"style":803},[612],[574,1093,663],{"className":1094},[617],": Für null Objekte gibt es genau eine Anordnung, nämlich keine. Fakultäten wachsen sehr schnell, schon ",[574,1097,1099,1116],{"className":1098},[577],[574,1100,1102],{"className":1101},[581],[583,1103,1104],{"xmlns":585},[587,1105,1106,1113],{},[590,1107,1108,1111],{},[661,1109,1110],{},"10",[640,1112,643],{"stretchy":642},[597,1114,1115],{"encoding":599},"10!",[574,1117,1119],{"className":1118,"ariaHidden":604},[603],[574,1120,1122,1125,1128],{"className":1121},[608],[574,1123],{"className":1124,"style":693},[612],[574,1126,1110],{"className":1127},[617],[574,1129,643],{"className":1130},[700]," ist über drei Millionen.",[560,1133,1135],{"id":1134},"beispiele","Beispiele",[565,1137,1138],{},"Vier Freunde stellen sich für ein Foto nebeneinander auf:",[574,1140,1142],{"className":1141},[623],[574,1143,1145,1188],{"className":1144},[577],[574,1146,1148],{"className":1147},[581],[583,1149,1150],{"xmlns":585,"display":632},[587,1151,1152,1185],{},[590,1153,1154,1157,1159,1161,1163,1165,1168,1170,1172,1174,1176,1178,1181],{},[661,1155,1156],{},"4",[640,1158,643],{"stretchy":642},[640,1160,646],{},[661,1162,1156],{},[640,1164,651],{},[661,1166,1167],{},"3",[640,1169,651],{},[661,1171,676],{},[640,1173,651],{},[661,1175,663],{},[640,1177,646],{},[661,1179,1180],{},"24",[1182,1183,1184],"mtext",{}," Reihenfolgen",[597,1186,1187],{"encoding":599},"4! = 4 \\cdot 3 \\cdot 2 \\cdot 1 = 24 \\text{ Reihenfolgen}",[574,1189,1191,1212,1230,1248,1266,1284],{"className":1190,"ariaHidden":604},[603],[574,1192,1194,1197,1200,1203,1206,1209],{"className":1193},[608],[574,1195],{"className":1196,"style":693},[612],[574,1198,1156],{"className":1199},[617],[574,1201,643],{"className":1202},[700],[574,1204],{"className":1205,"style":705},[704],[574,1207,646],{"className":1208},[709],[574,1210],{"className":1211,"style":705},[704],[574,1213,1215,1218,1221,1224,1227],{"className":1214},[608],[574,1216],{"className":1217,"style":803},[612],[574,1219,1156],{"className":1220},[617],[574,1222],{"className":1223,"style":726},[704],[574,1225,651],{"className":1226},[730],[574,1228],{"className":1229,"style":726},[704],[574,1231,1233,1236,1239,1242,1245],{"className":1232},[608],[574,1234],{"className":1235,"style":803},[612],[574,1237,1167],{"className":1238},[617],[574,1240],{"className":1241,"style":726},[704],[574,1243,651],{"className":1244},[730],[574,1246],{"className":1247,"style":726},[704],[574,1249,1251,1254,1257,1260,1263],{"className":1250},[608],[574,1252],{"className":1253,"style":803},[612],[574,1255,676],{"className":1256},[617],[574,1258],{"className":1259,"style":726},[704],[574,1261,651],{"className":1262},[730],[574,1264],{"className":1265,"style":726},[704],[574,1267,1269,1272,1275,1278,1281],{"className":1268},[608],[574,1270],{"className":1271,"style":803},[612],[574,1273,663],{"className":1274},[617],[574,1276],{"className":1277,"style":705},[704],[574,1279,646],{"className":1280},[709],[574,1282],{"className":1283,"style":705},[704],[574,1285,1287,1291,1294],{"className":1286},[608],[574,1288],{"className":1289,"style":1290},[612],"height:0.8889em;vertical-align:-0.1944em;",[574,1292,1180],{"className":1293},[617],[574,1295,1298],{"className":1296},[617,1297],"text",[574,1299,1184],{"className":1300},[617],[565,1302,1303,1304,1424],{},"Stellt man sie zufällig auf, ist eine bestimmte Reihenfolge also mit Wahrscheinlichkeit ",[574,1305,1307,1326],{"className":1306},[577],[574,1308,1310],{"className":1309},[581],[583,1311,1312],{"xmlns":585},[587,1313,1314,1323],{},[590,1315,1316],{},[1317,1318,1319,1321],"mfrac",{},[661,1320,663],{},[661,1322,1180],{},[597,1324,1325],{"encoding":599},"\\frac{1}{24}",[574,1327,1329],{"className":1328,"ariaHidden":604},[603],[574,1330,1332,1336],{"className":1331},[608],[574,1333],{"className":1334,"style":1335},[612],"height:1.1901em;vertical-align:-0.345em;",[574,1337,1339,1343,1421],{"className":1338},[617],[574,1340],{"className":1341},[744,1342],"nulldelimiter",[574,1344,1346],{"className":1345},[1317],[574,1347,1351,1412],{"className":1348},[1349,1350],"vlist-t","vlist-t2",[574,1352,1355,1407],{"className":1353},[1354],"vlist-r",[574,1356,1360,1381,1392],{"className":1357,"style":1359},[1358],"vlist","height:0.8451em;",[574,1361,1363,1368],{"style":1362},"top:-2.655em;",[574,1364],{"className":1365,"style":1367},[1366],"pstrut","height:3em;",[574,1369,1375],{"className":1370},[1371,1372,1373,1374],"sizing","reset-size6","size3","mtight",[574,1376,1378],{"className":1377},[617,1374],[574,1379,1180],{"className":1380},[617,1374],[574,1382,1384,1387],{"style":1383},"top:-3.23em;",[574,1385],{"className":1386,"style":1367},[1366],[574,1388],{"className":1389,"style":1391},[1390],"frac-line","border-bottom-width:0.04em;",[574,1393,1395,1398],{"style":1394},"top:-3.394em;",[574,1396],{"className":1397,"style":1367},[1366],[574,1399,1401],{"className":1400},[1371,1372,1373,1374],[574,1402,1404],{"className":1403},[617,1374],[574,1405,663],{"className":1406},[617,1374],[574,1408,1411],{"className":1409},[1410],"vlist-s","​",[574,1413,1415],{"className":1414},[1354],[574,1416,1419],{"className":1417,"style":1418},[1358],"height:0.345em;",[574,1420],{},[574,1422],{"className":1423},[700,1342]," dabei.",[565,1426,1427,1428,1486,1487,1567],{},"Sechs verschiedene Bücher lassen sich auf ",[574,1429,1431,1453],{"className":1430},[577],[574,1432,1434],{"className":1433},[581],[583,1435,1436],{"xmlns":585},[587,1437,1438,1450],{},[590,1439,1440,1443,1445,1447],{},[661,1441,1442],{},"6",[640,1444,643],{"stretchy":642},[640,1446,646],{},[661,1448,1449],{},"720",[597,1451,1452],{"encoding":599},"6! = 720",[574,1454,1456,1477],{"className":1455,"ariaHidden":604},[603],[574,1457,1459,1462,1465,1468,1471,1474],{"className":1458},[608],[574,1460],{"className":1461,"style":693},[612],[574,1463,1442],{"className":1464},[617],[574,1466,643],{"className":1467},[700],[574,1469],{"className":1470,"style":705},[704],[574,1472,646],{"className":1473},[709],[574,1475],{"className":1476,"style":705},[704],[574,1478,1480,1483],{"className":1479},[608],[574,1481],{"className":1482,"style":803},[612],[574,1484,1449],{"className":1485},[617]," Arten ins Regal stellen. Bei zehn Läuferinnen gibt es ",[574,1488,1490,1521],{"className":1489},[577],[574,1491,1493],{"className":1492},[581],[583,1494,1495],{"xmlns":585},[587,1496,1497,1518],{},[590,1498,1499,1501,1503,1505,1507,1510,1513,1515],{},[661,1500,1110],{},[640,1502,643],{"stretchy":642},[640,1504,646],{},[661,1506,1167],{},[1182,1508,1509],{}," ",[661,1511,1512],{},"628",[1182,1514,1509],{},[661,1516,1517],{},"800",[597,1519,1520],{"encoding":599},"10! = 3\\,628\\,800",[574,1522,1524,1545],{"className":1523,"ariaHidden":604},[603],[574,1525,1527,1530,1533,1536,1539,1542],{"className":1526},[608],[574,1528],{"className":1529,"style":693},[612],[574,1531,1110],{"className":1532},[617],[574,1534,643],{"className":1535},[700],[574,1537],{"className":1538,"style":705},[704],[574,1540,646],{"className":1541},[709],[574,1543],{"className":1544,"style":705},[704],[574,1546,1548,1551,1554,1558,1561,1564],{"className":1547},[608],[574,1549],{"className":1550,"style":803},[612],[574,1552,1167],{"className":1553},[617],[574,1555],{"className":1556,"style":1557},[704],"margin-right:0.1667em;",[574,1559,1512],{"className":1560},[617],[574,1562],{"className":1563,"style":1557},[704],[574,1565,1517],{"className":1566},[617]," mögliche Zieleinläufe (ohne Gleichstand).",[560,1569,1571],{"id":1570},"typische-fehler","Typische Fehler",[1573,1574,1575,1695,1940,2086],"ul",{},[1576,1577,1578,1629,1630,1694],"li",{},[574,1579,1581,1599],{"className":1580},[577],[574,1582,1584],{"className":1583},[581],[583,1585,1586],{"xmlns":585},[587,1587,1588,1596],{},[590,1589,1590,1592,1594],{},[593,1591,595],{},[640,1593,651],{},[593,1595,595],{},[597,1597,1598],{"encoding":599},"n \\cdot n",[574,1600,1602,1620],{"className":1601,"ariaHidden":604},[603],[574,1603,1605,1608,1611,1614,1617],{"className":1604},[608],[574,1606],{"className":1607,"style":719},[612],[574,1609,595],{"className":1610},[617,618],[574,1612],{"className":1613,"style":726},[704],[574,1615,651],{"className":1616},[730],[574,1618],{"className":1619,"style":726},[704],[574,1621,1623,1626],{"className":1622},[608],[574,1624],{"className":1625,"style":613},[612],[574,1627,595],{"className":1628},[617,618]," oder ",[574,1631,1633,1652],{"className":1632},[577],[574,1634,1636],{"className":1635},[581],[583,1637,1638],{"xmlns":585},[587,1639,1640,1649],{},[590,1641,1642],{},[1643,1644,1645,1647],"msup",{},[593,1646,595],{},[593,1648,595],{},[597,1650,1651],{"encoding":599},"n^n",[574,1653,1655],{"className":1654,"ariaHidden":604},[603],[574,1656,1658,1662],{"className":1657},[608],[574,1659],{"className":1660,"style":1661},[612],"height:0.6644em;",[574,1663,1665,1668],{"className":1664},[617],[574,1666,595],{"className":1667},[617,618],[574,1669,1672],{"className":1670},[1671],"msupsub",[574,1673,1675],{"className":1674},[1349],[574,1676,1678],{"className":1677},[1354],[574,1679,1681],{"className":1680,"style":1661},[1358],[574,1682,1684,1688],{"style":1683},"top:-3.063em;margin-right:0.05em;",[574,1685],{"className":1686,"style":1687},[1366],"height:2.7em;",[574,1689,1691],{"className":1690},[1371,1372,1373,1374],[574,1692,595],{"className":1693},[617,618,1374]," rechnen. Jedes Objekt kann nur einmal vorkommen, deshalb sinkt die Anzahl der Möglichkeiten mit jedem Platz.",[1576,1696,1697,1730,1731,1787,1788,1939],{},[574,1698,1700,1715],{"className":1699},[577],[574,1701,1703],{"className":1702},[581],[583,1704,1705],{"xmlns":585},[587,1706,1707,1713],{},[590,1708,1709,1711],{},[593,1710,595],{},[640,1712,643],{"stretchy":642},[597,1714,552],{"encoding":599},[574,1716,1718],{"className":1717,"ariaHidden":604},[603],[574,1719,1721,1724,1727],{"className":1720},[608],[574,1722],{"className":1723,"style":693},[612],[574,1725,595],{"className":1726},[617,618],[574,1728,643],{"className":1729},[700]," verwenden, obwohl gleiche Objekte dabei sind. Die Buchstaben von ANNA ergeben nicht ",[574,1732,1734,1754],{"className":1733},[577],[574,1735,1737],{"className":1736},[581],[583,1738,1739],{"xmlns":585},[587,1740,1741,1751],{},[590,1742,1743,1745,1747,1749],{},[661,1744,1156],{},[640,1746,643],{"stretchy":642},[640,1748,646],{},[661,1750,1180],{},[597,1752,1753],{"encoding":599},"4! = 24",[574,1755,1757,1778],{"className":1756,"ariaHidden":604},[603],[574,1758,1760,1763,1766,1769,1772,1775],{"className":1759},[608],[574,1761],{"className":1762,"style":693},[612],[574,1764,1156],{"className":1765},[617],[574,1767,643],{"className":1768},[700],[574,1770],{"className":1771,"style":705},[704],[574,1773,646],{"className":1774},[709],[574,1776],{"className":1777,"style":705},[704],[574,1779,1781,1784],{"className":1780},[608],[574,1782],{"className":1783,"style":803},[612],[574,1785,1180],{"className":1786},[617],", sondern nur ",[574,1789,1791,1827],{"className":1790},[577],[574,1792,1794],{"className":1793},[581],[583,1795,1796],{"xmlns":585},[587,1797,1798,1824],{},[590,1799,1800,1820,1822],{},[1317,1801,1802,1808],{},[590,1803,1804,1806],{},[661,1805,1156],{},[640,1807,643],{"stretchy":642},[590,1809,1810,1812,1814,1816,1818],{},[661,1811,676],{},[640,1813,643],{"stretchy":642},[640,1815,651],{},[661,1817,676],{},[640,1819,643],{"stretchy":642},[640,1821,646],{},[661,1823,1442],{},[597,1825,1826],{"encoding":599},"\\frac{4!}{2! \\cdot 2!} = 6",[574,1828,1830,1930],{"className":1829,"ariaHidden":604},[603],[574,1831,1833,1837,1921,1924,1927],{"className":1832},[608],[574,1834],{"className":1835,"style":1836},[612],"height:1.2251em;vertical-align:-0.345em;",[574,1838,1840,1843,1918],{"className":1839},[617],[574,1841],{"className":1842},[744,1342],[574,1844,1846],{"className":1845},[1317],[574,1847,1849,1910],{"className":1848},[1349,1350],[574,1850,1852,1907],{"className":1851},[1354],[574,1853,1856,1882,1890],{"className":1854,"style":1855},[1358],"height:0.8801em;",[574,1857,1858,1861],{"style":1362},[574,1859],{"className":1860,"style":1367},[1366],[574,1862,1864],{"className":1863},[1371,1372,1373,1374],[574,1865,1867,1870,1873,1876,1879],{"className":1866},[617,1374],[574,1868,676],{"className":1869},[617,1374],[574,1871,643],{"className":1872},[700,1374],[574,1874,651],{"className":1875},[730,1374],[574,1877,676],{"className":1878},[617,1374],[574,1880,643],{"className":1881},[700,1374],[574,1883,1884,1887],{"style":1383},[574,1885],{"className":1886,"style":1367},[1366],[574,1888],{"className":1889,"style":1391},[1390],[574,1891,1892,1895],{"style":1394},[574,1893],{"className":1894,"style":1367},[1366],[574,1896,1898],{"className":1897},[1371,1372,1373,1374],[574,1899,1901,1904],{"className":1900},[617,1374],[574,1902,1156],{"className":1903},[617,1374],[574,1905,643],{"className":1906},[700,1374],[574,1908,1411],{"className":1909},[1410],[574,1911,1913],{"className":1912},[1354],[574,1914,1916],{"className":1915,"style":1418},[1358],[574,1917],{},[574,1919],{"className":1920},[700,1342],[574,1922],{"className":1923,"style":705},[704],[574,1925,646],{"className":1926},[709],[574,1928],{"className":1929,"style":705},[704],[574,1931,1933,1936],{"className":1932},[608],[574,1934],{"className":1935,"style":803},[612],[574,1937,1442],{"className":1938},[617]," verschiedene Wörter, weil sich die beiden A und die beiden N nicht unterscheiden.",[1576,1941,1942,1975,1976,2051,2052,2085],{},[574,1943,1945,1960],{"className":1944},[577],[574,1946,1948],{"className":1947},[581],[583,1949,1950],{"xmlns":585},[587,1951,1952,1958],{},[590,1953,1954,1956],{},[593,1955,595],{},[640,1957,643],{"stretchy":642},[597,1959,552],{"encoding":599},[574,1961,1963],{"className":1962,"ariaHidden":604},[603],[574,1964,1966,1969,1972],{"className":1965},[608],[574,1967],{"className":1968,"style":693},[612],[574,1970,595],{"className":1971},[617,618],[574,1973,643],{"className":1974},[700]," verwenden, obwohl nur ein Teil der Objekte angeordnet wird. Für „wie viele Möglichkeiten gibt es für die ersten drei Plätze von 10“ rechnet man ",[574,1977,1979,2003],{"className":1978},[577],[574,1980,1982],{"className":1981},[581],[583,1983,1984],{"xmlns":585},[587,1985,1986,2000],{},[590,1987,1988,1990,1992,1995,1997],{},[661,1989,1110],{},[640,1991,651],{},[661,1993,1994],{},"9",[640,1996,651],{},[661,1998,1999],{},"8",[597,2001,2002],{"encoding":599},"10 \\cdot 9 \\cdot 8",[574,2004,2006,2024,2042],{"className":2005,"ariaHidden":604},[603],[574,2007,2009,2012,2015,2018,2021],{"className":2008},[608],[574,2010],{"className":2011,"style":803},[612],[574,2013,1110],{"className":2014},[617],[574,2016],{"className":2017,"style":726},[704],[574,2019,651],{"className":2020},[730],[574,2022],{"className":2023,"style":726},[704],[574,2025,2027,2030,2033,2036,2039],{"className":2026},[608],[574,2028],{"className":2029,"style":803},[612],[574,2031,1994],{"className":2032},[617],[574,2034],{"className":2035,"style":726},[704],[574,2037,651],{"className":2038},[730],[574,2040],{"className":2041,"style":726},[704],[574,2043,2045,2048],{"className":2044},[608],[574,2046],{"className":2047,"style":803},[612],[574,2049,1999],{"className":2050},[617],", nicht ",[574,2053,2055,2070],{"className":2054},[577],[574,2056,2058],{"className":2057},[581],[583,2059,2060],{"xmlns":585},[587,2061,2062,2068],{},[590,2063,2064,2066],{},[661,2065,1110],{},[640,2067,643],{"stretchy":642},[597,2069,1115],{"encoding":599},[574,2071,2073],{"className":2072,"ariaHidden":604},[603],[574,2074,2076,2079,2082],{"className":2075},[608],[574,2077],{"className":2078,"style":693},[612],[574,2080,1110],{"className":2081},[617],[574,2083,643],{"className":2084},[700],".",[1576,2087,2088,2144,2145,2085],{},[574,2089,2091,2111],{"className":2090},[577],[574,2092,2094],{"className":2093},[581],[583,2095,2096],{"xmlns":585},[587,2097,2098,2108],{},[590,2099,2100,2102,2104,2106],{},[661,2101,1052],{},[640,2103,643],{"stretchy":642},[640,2105,646],{},[661,2107,1052],{},[597,2109,2110],{"encoding":599},"0! = 0",[574,2112,2114,2135],{"className":2113,"ariaHidden":604},[603],[574,2115,2117,2120,2123,2126,2129,2132],{"className":2116},[608],[574,2118],{"className":2119,"style":693},[612],[574,2121,1052],{"className":2122},[617],[574,2124,643],{"className":2125},[700],[574,2127],{"className":2128,"style":705},[704],[574,2130,646],{"className":2131},[709],[574,2133],{"className":2134,"style":705},[704],[574,2136,2138,2141],{"className":2137},[608],[574,2139],{"className":2140,"style":803},[612],[574,2142,1052],{"className":2143},[617]," annehmen. Richtig ist ",[574,2146,2148,2167],{"className":2147},[577],[574,2149,2151],{"className":2150},[581],[583,2152,2153],{"xmlns":585},[587,2154,2155,2165],{},[590,2156,2157,2159,2161,2163],{},[661,2158,1052],{},[640,2160,643],{"stretchy":642},[640,2162,646],{},[661,2164,663],{},[597,2166,1061],{"encoding":599},[574,2168,2170,2191],{"className":2169,"ariaHidden":604},[603],[574,2171,2173,2176,2179,2182,2185,2188],{"className":2172},[608],[574,2174],{"className":2175,"style":693},[612],[574,2177,1052],{"className":2178},[617],[574,2180,643],{"className":2181},[700],[574,2183],{"className":2184,"style":705},[704],[574,2186,646],{"className":2187},[709],[574,2189],{"className":2190,"style":705},[704],[574,2192,2194,2197],{"className":2193},[608],[574,2195],{"className":2196,"style":803},[612],[574,2198,663],{"className":2199},[617],{"title":2201,"searchDepth":2202,"depth":2202,"links":2203},"",2,[2204,2205,2206],{"id":562,"depth":2202,"text":563},{"id":1134,"depth":2202,"text":1135},{"id":1570,"depth":2202,"text":1571},[2208,2211,2214,2215,2217,2219,2222,2224,2226],{"lhs":2209,"rhs":2210},"7!","7 * 6!",{"lhs":2212,"rhs":2213},"4!","4 * 3 * 2 * 1",{"lhs":2212,"rhs":1180},{"lhs":2216,"rhs":1449},"6!",{"lhs":1115,"rhs":2218},"3628800",{"lhs":2220,"rhs":2221},"1\u002F4!","1\u002F24",{"lhs":2223,"rhs":1442},"4! \u002F (2! * 2!)",{"lhs":2225,"rhs":1449},"10 * 9 * 8",{"lhs":2227,"rhs":663},"0!","n \\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>\u003Cmsub>\u003Cmi mathvariant=\"double-struck\">N\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\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:0.5782em;vertical-align:-0.0391em;\">\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:-0.15em;\">\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","factorial-permutations","\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 stretchy=\"false\">!\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n! = n \\cdot (n-1) \\cdot \\ldots \\cdot 2 \\cdot 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:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mclose\">!\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:0.4445em;\">\u003C\u002Fspan>\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>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\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>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\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>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4445em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\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>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">2\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>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpermutationen",[],[2240,2241,2242],"binomial-coefficient","path-multiplication-rule","laplace-probability",{"title":548,"description":2201},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpermutationen","Für n verschiedene Objekte gibt es n! = n · (n−1) · … · 1 mögliche Reihenfolgen.",[2247,2248,2249,2250,2251],"fakultät","kombinatorik","reihenfolge","anordnungen","zählen",[2253,2256],{"symbol":595,"meaning":2254,"symbolHtml":2255},"Anzahl der unterscheidbaren Objekte","\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":552,"meaning":2257,"symbolHtml":2258},"„n Fakultät“, die Anzahl der möglichen Reihenfolgen der n Objekte","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo stretchy=\"false\">!\u003C\u002Fmo>\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:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mclose\">!\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","AT3PIHWznvFhu-fyBPA628yroF8iBvYqXx8BQi5OnEY",[2261,2264,2267],{"stem":2262,"title":2263,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fbinomialkoeffizient","Binomialkoeffizient",{"stem":2265,"title":2266,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Flaplace-wahrscheinlichkeit","Laplace-Wahrscheinlichkeit",{"stem":2268,"title":2269,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpfadmultiplikationsregel","Pfadmultiplikationsregel",1793824286964]