The number of ways that r items can be selected from n items in any order. |
n r |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
0 |
1 |
||||||||||
1 |
1 |
1 |
|||||||||
2 |
1 |
2 |
1 |
||||||||
3 |
1 |
3 |
3 |
1 |
|||||||
4 |
1 |
4 |
6 |
4 |
1 |
||||||
5 |
1 |
5 |
10 |
10 |
5 |
1 |
|||||
6 |
1 |
6 |
15 |
20 |
15 |
6 |
1 |
||||
7 |
1 |
7 |
21 |
35 |
35 |
21 |
7 |
1 |
|||
8 |
1 |
8 |
28 |
56 |
70 |
56 |
28 |
8 |
1 |
||
9 |
1 |
9 |
36 |
84 |
126 |
126 |
84 |
36 |
9 |
1 |
|
10 |
1 |
10 |
45 |
120 |
210 |
252 |
210 |
120 |
45 |
10 |
1 |
11 |
1 |
11 |
55 |
165 |
330 |
462 |
462 |
330 |
165 |
55 |
11 |
12 |
1 |
12 |
66 |
220 |
495 |
792 |
924 |
792 |
495 |
220 |
66 |
13 |
1 |
13 |
78 |
286 |
715 |
1287 |
1716 |
1716 |
1287 |
715 |
286 |
14 |
1 |
14 |
91 |
364 |
1001 |
2002 |
3003 |
3432 |
3003 |
2002 |
1001 |
15 |
1 |
15 |
105 |
455 |
1365 |
3003 |
5005 |
6435 |
6435 | 5005 |
3003 |