Calculators

Permutation & Combination Calculator

nPr and nCr from n and r.

n (total items)r (items chosen)

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Permutations (ₙPᵣ)

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Combinations (ₙCᵣ)

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Permutations with repetition (nʳ)

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Combinations with repetition

n!—

r!—

(n − r)!—

This free permutation and combination calculator computes ₙPᵣ and ₙCᵣ for any values of n and r. Permutations count ordered arrangements while combinations count unordered selections. Enter the total number of items and how many are chosen to see both results along with the factorials involved.