Evaluate the combination:
14C8
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
14C8 2 | 14! |
8!(14 - 8)! |
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
n! = 14!
14! = 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
14! = 87,178,291,200
(n - r)! = (14 - 8)!
(14 - 8)! = 6!
6! = 6 x 5 x 4 x 3 x 2 x 1
6! = 720
r! = 8!
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
8! = 40,320
14C8 = | 87,178,291,200 |
40,320 x 720 |
14C8 = | 87,178,291,200 |
29,030,400 |
14C8 = 3,003
14C8 = 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
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