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Permutation & Combination Calculator

nPr and nCr, exactRuns locally · nothing uploaded

  • Permutations nPr = n! / (n − r)!720
  • Combinations nCr = n! / [r! (n − r)!]120
  • Permutations with repetition nʳ1,000
  • Combinations with repetition C(n + r − 1, r)220

Permutations count order (e.g. president and vice-president); combinations don't (e.g. choosing 2 delegates).

Also works as:ncr calculatornpr calculatorcombinations calculator

How to use

  1. 1Enter n and r.
  2. 2Read nPr, nCr and the repetition variants.
  3. 3Copy the full numbers.

FAQ

Permutation vs combination?

Permutations count order; combinations don't. Picking a president and VP from 10 is 10P2 = 90; picking 2 delegates is 10C2 = 45.

What is 10C3?

10! ÷ (3! × 7!) = 120.