MathKit

Permutation Calculator

Compute nPr = n! ÷ (n − r)!: how many ordered arrangements of r items from n.

Calculator

Permutation Calculator

Result

—

Formula

nPr = n! ÷ (n − r)!

Step-by-step

  1. 1

    Enter n and r

    n is the pool size, r is how many you pick.

  2. 2

    Read the count

    Ordered arrangements are shown.

Worked example

Example input: n: 10, r: 3

Result: 720

Related tools

Useful links