Permutation Calculator (nPr)

Determine how many ways you can arrange r items from n items when order matters. Uses nPr = n! / (n-r)! for rankings and seating charts.

Permutations (nPr)

Enter values to calculate

How to Use the Permutation Calculator

1

Enter the total number of items (n).

2

Enter the number to arrange (r).

3

View the number of permutations.

Frequently Asked Questions

What is a permutation?
An ordered arrangement of items. nPr = n! / (n-r)! counts how many ways to arrange r items from n.
When to use permutations vs combinations?
Use permutations when order matters (rankings, passwords). Use combinations when order does not (groups).
What if r equals n?
nPn = n!, which is the total number of ways to arrange all n items.

Related Tools