Permutation & Combination Calculator

Calculate how many ways you can arrange or choose items — permutations (order matters) and combinations (order doesn't).

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What is the Permutation & Combination Calculator?

Permutations and combinations count the ways to select r items from n. Permutations (nPr) count arrangements where order matters; combinations (nCr) count selections where it doesn't.

How to Calculate

nPr = n! ÷ (n−r)! and nCr = n! ÷ (r!(n−r)!).

Formula

nPr = n!/(n−r)!   nCr = n!/(r!(n−r)!)

How to Use

  1. Enter your details in the fields above.
  2. The result updates instantly as you type.
  3. Use Copy, Print or Download PDF to save your result.

Frequently Asked Questions

When do I use each?
Use permutations when order matters (e.g. race finishing positions) and combinations when it doesn't (e.g. picking a team).
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