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Permutation & Combination Calculator

Calculate nPr (permutations) and nCr (combinations).

How this is calculated
nPr = n! ÷ (n−r)!. nCr = n! ÷ (r! × (n−r)!)

Assumptions used in this calculation

  • No repetition: Assumes items are chosen without repetition/replacement and are distinguishable, the standard nPr/nCr definitions.

About this calculator

Calculates permutations (nPr, order matters) and combinations (nCr, order doesn't matter) for choosing r items from n.

Worked example

n=5, r=3

Result: nPr = 60, nCr = 10

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