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Evaluate the combination:
11C3
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
11C3 2 | 11! |
3!(11 - 3)! |
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 - 3)!
(11 - 3)! = 8!
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
8! = 40,320
r! = 3!
3! = 3 x 2 x 1
3! = 6
11C3 = | 39,916,800 |
6 x 40,320 |
11C3 = | 39,916,800 |
241,920 |