Evaluate the combination:
14C12
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
14C12 2 | 14! |
12!(14 - 12)! |
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 - 12)!
(14 - 12)! = 2!
2! = 2 x 1
2! = 2
r! = 12!
12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
12! = 479,001,600
14C12 = | 87,178,291,200 |
479,001,600 x 2 |
14C12 = | 87,178,291,200 |
958,003,200 |
14C12 = 91
14C12 = 91
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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