Table of Binomial Coefficients

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