Evaluate the combination:
13C3
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
13C3 2 | 13! |
3!(13 - 3)! |
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 - 3)!
(13 - 3)! = 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
r! = 3!
3! = 3 x 2 x 1
3! = 6
13C3 = | 6,227,020,800 |
6 x 3,628,800 |
13C3 = | 6,227,020,800 |
21,772,800 |
13C3 = 286
13C3 = 286
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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