Evaluate the combination:
15C10
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
15C10 2 | 15! |
10!(15 - 10)! |
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
n! = 15!
15! = 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
15! = 1,307,674,368,000
(n - r)! = (15 - 10)!
(15 - 10)! = 5!
5! = 5 x 4 x 3 x 2 x 1
5! = 120
r! = 10!
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
10! = 3,628,800
15C10 = | 1,307,674,368,000 |
3,628,800 x 120 |
15C10 = | 1,307,674,368,000 |
435,456,000 |
15C10 = 3,003
15C10 = 3,003
Free Permutations and Combinations Calculator - Calculates the following:
Number of permutation(s) of n items arranged in r ways = nPr
Number of combination(s) of n items arranged in r unique ways = nCr including subsets of sets
This calculator has 2 inputs.
For more math formulas, check out our Formula Dossier
Add This Calculator To Your Website
ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfpbKzudStmK2hn6N7sbTPeKWupW1mgmewxKd0amhWpbl%2Bj86mmaKmkam2sLrS