Evaluate the following permutation
10P5
An order or arrangement
nPr = | n! |
(n - r)! |
where n is the number of items
r is the number of arrangements.
10P5 2 | 10! |
(10 - 5)! |
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 - 5)!
(10 - 5)! = 5!
5! = 5 x 4 x 3 x 2 x 1
5! = 120
10P5 = | 3,628,800 |
120 |
10P5 = 30,240
10P5 = 30,240
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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