Permutation and Combination Calculator

nPr and nCr, plus permutations with repetition and multinomial coefficients.

Calculator Numbers & Math Updated Apr 20, 2026
How to Use
  1. Enter n (total) and r (chosen).
  2. BigInt arithmetic handles n up to 170+.
Input
Results

Formulas

Permutations
nPr = n! / (n − r)!
Combinations
nCr = n! / (r! · (n − r)!)
With repetition
permutation = n^r · combination = C(n+r−1, r)

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