Permutation & Combination Calculator (Free)

Free nPr and nCr calculator—n and r for permutations and combinations. Runs in your browser.

Enter n and r for permutations nPr (order matters) and combinations nCr (order-free).

How to use

  1. Enter integers with 0 ≤ r ≤ n.
  2. Compare nPr vs nCr—lineups vs committees.

Example

Pick 3 from 10 in order → 720; same pick without order → 120.

For independent event odds, see the probability calculator.

Notes

Permutations count ABC and BAC as different; combinations do not.

Frequently asked questions

Permutation vs combination?

nPr counts order; nCr does not.

What are n and r?

n = pool size, r = picks, with 0 ≤ r ≤ n.

Why is n limited?

Factorials explode; very large n exceeds precise display limits.

Link to probability?

Count arrangements here; multiply independent odds on the probability calculator.

Can I save my inputs?

Yes. Copy link below the form keeps your current inputs so you can share the scenario or save it for later.

Related calculators