Permutation Calculator

Find how many ways to arrange r items from n distinct objects — order matters.

Modify the values and click the Calculate button to use this tool.

Permutation Calculator

Enter n (total items) and r (items chosen). Order matters in permutations.

Formula

P(n,r) = n! / (n − r)!

Permutation formula

P(n,r) = n! / (n−r)!

Example: P(10,3) = 10×9×8 = 720 ways to arrange 3 items from 10.