Combination and Permutation Calculator

Calculate combinations C(n,r) and permutations P(n,r) exactly, including large integers.

How to use the tool

Enter the requested values and choose a mode or operation when needed. Fields start empty so results always reflect your own data.

For n=5 and r=2, there are 10 combinations and 20 permutations.

Formula and method

Combinations ignore order; permutations consider it. Results use exact integers.

C(n,r)=n!/[r!(n−r)!] · P(n,r)=n!/(n−r)!

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