Permutation Calculator

Find the number of ways to arrange r items out of a set of n, where the order matters.

How it is calculated

Counts ordered selections — choosing a 1st, 2nd and 3rd place winner from a group is a permutation problem.

Formula

nPr: n! ÷ (n−r)!

Frequently asked questions

How is a permutation different from a combination?

A permutation cares about order — 1st, 2nd, 3rd place. A combination does not — it is just picking a group of 3, no matter the order. Permutations always give a bigger or equal count.