Evaluate the following permutation
8P3
Permutation Definition:
An order or arrangement
Permutation Formula:
nPr = | n! |
(n - r)! |
where n is the number of items
r is the number of arrangements.
Plug in n = 8 and r = 3
8P3 2 | 8! |
(8 - 3)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate n!:
n! = 8!
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
8! = 40,320
Calculate (n - r)!:
(n - r)! = (8 - 3)!
(8 - 3)! = 5!
5! = 5 x 4 x 3 x 2 x 1
5! = 120
Calculate 8P3:
8P3 = | 40,320 |
120 |
8P3 = 336
Excel or Google Sheets formula:
=PERMUT(8,3)What is the Answer?
How does the Permutations and Combinations Calculator work?
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
This calculator has 2 inputs.
What 2 formulas are used for the Permutations and Combinations Calculator?
nPr=n!/r!nCr=n!/r!(n-r)!
For more math formulas, check out our Formula Dossier
What 4 concepts are covered in the Permutations and Combinations Calculator?
combinationa mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matternPr = n!/r!(n - r)!factorialThe product of an integer and all the integers below itpermutationa way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)!permutations and combinations
Example calculations for the Permutations and Combinations Calculator
Permutations and Combinations Calculator Video
Tags:
Add This Calculator To Your Website
ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfpbKzudStmK2hn6N7sbTPeKWupW1tc6WxzXZqX6iccp2mvsyuq5qsmaS7tA%3D%3D