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
|