Evaluate the combination:
13C8
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
13C8 2 | 13! |
8!(13 - 8)! |
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
n! = 13!
13! = 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
13! = 6,227,020,800
(n - r)! = (13 - 8)!
(13 - 8)! = 5!
5! = 5 x 4 x 3 x 2 x 1
5! = 120
r! = 8!
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
8! = 40,320
13C8 = | 6,227,020,800 |
40,320 x 120 |
13C8 = | 6,227,020,800 |
4,838,400 |
13C8 = 1,287
13C8 = 1,287
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
ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfpbKzudStmK2hn6N7sbTPeKWupW1mgGewxKd0cV6goYqEu8yboKeZpJ68r78%3D