Die Anzahl C der Kombinationen von n Elementen in Gruppen von k Elementen wird berechnet nach der Formel:
Unter Verwendung einer Excel-Tabelle erhält man die Wertetabelle:
1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
2 | 0 | 0 | 1 | 3 | 6 | 10 | 15 | 21 | 28 | 36 | 45 | 55 | 66 |
3 | 0 | 0 | 0 | 1 | 4 | 10 | 20 | 35 | 56 | 84 | 120 | 165 | 220 |
4 | 0 | 0 | 0 | 0 | 1 | 5 | 15 | 35 | 70 | 126 | 210 | 330 | 495 |
5 | 0 | 0 | 0 | 0 | 0 | 1 | 6 | 21 | 56 | 126 | 252 | 462 | 792 |
6 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 7 | 28 | 84 | 210 | 462 | 924 |
7 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 8 | 36 | 120 | 330 | 792 |
8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 9 | 45 | 165 | 495 |
9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 10 | 55 | 220 |
10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 11 | 66 |
11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 12 |
12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
* | 0 | 1 | 3 | 7 | 15 | 31 | 63 | 127 | 255 | 511 | 1023 | 2047 | 4095 |