Evaluate the combination:
15C9
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
15C9 2 | 15! |
9!(15 - 9)! |
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 - 9)!
(15 - 9)! = 6!
6! = 6 x 5 x 4 x 3 x 2 x 1
6! = 720
r! = 9!
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
9! = 362,880
15C9 = | 1,307,674,368,000 |
362,880 x 720 |
15C9 = | 1,307,674,368,000 |
261,273,600 |
15C9 = 5,005
15C9 = 5,005
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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