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Evaluate the combination:
10C3
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
10C3 2 | 10! |
3!(10 - 3)! |
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
n! = 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
(n - r)! = (10 - 3)!
(10 - 3)! = 7!
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
7! = 5,040
r! = 3!
3! = 3 x 2 x 1
3! = 6
10C3 = | 3,628,800 |
6 x 5,040 |
10C3 = | 3,628,800 |
30,240 |