Combinations Calculator

nCr and nPr exactly.

Input Parameters

n (total)

r (chosen)

Calculation Summary

Combinations120

Permutations720

r!6

175 available

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About this calculator

Exact combinations nCr and permutations nPr as big integers.

nCr vs nPr?

Combinations ignore order; permutations count every ordering.

Exact?

BigInt arithmetic — no floating-point rounding.

Limit?

n up to 1000 with r ≤ n.