Free Permutations & Combinations Calculator

Compute nPr, nCr and factorials exactly.

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About the Permutations & Combinations Calculator

Free permutations and combinations calculator. Enter n and r to compute permutations (nPr, order matters), combinations (nCr, order doesn't) and factorials — with big-integer precision for large values. Runs in your browser.

How it works

  1. 1

    Enter n and r

    Total items and how many chosen.

  2. 2

    See nPr and nCr

    Ordered and unordered counts.

  3. 3

    Check factorials

    Exact big-integer results.

Frequently asked questions

Permutations count ordered arrangements (ABC ≠ CBA); combinations count selections where order doesn't matter (ABC = CBA).

Factorials are computed with big integers, so results stay exact. n is capped at 170 to keep it responsive.

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