Evaluate the combination:
11C2
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
11C2 2 | 11! |
2!(11 - 2)! |
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
n! = 11!
11! = 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
11! = 39,916,800
(n - r)! = (11 - 2)!
(11 - 2)! = 9!
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
9! = 362,880
r! = 2!
2! = 2 x 1
2! = 2
11C2 = | 39,916,800 |
2 x 362,880 |
11C2 = | 39,916,800 |
725,760 |
11C2 = 55
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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