basic

Permutations (nPr) Calculator

P(n,r) = n! / (n−r)!.

Compute the number of permutations P(n, r) — the number of ways to arrange r items from n distinct items where order matters: P(n, r) = n! / (n−r)!. Compare with combinations: C(n,r) = P(n,r) / r!.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P(n,r) = n! / (n−r)!.

In depth

Compute the number of permutations P(n, r) — the number of ways to arrange r items from n distinct items where order matters: P(n, r) = n! / (n−r)!. Compare with combinations: C(n,r) = P(n,r) / r!.