Combinatorics Calculators

Calculate combination and permutation and other combinatorics calculations.

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Combination CalculatorCalculate the number of combinations (nCr) — the number of ways to choose r items from a set of n items, where order doesn't matter.Permutation CalculatorCalculate the number of permutations (nPr) — the number of ways to arrange r items from a set of n items, where order matters.

Combinatorics Guides

Statistics2 min read

Permutation vs Combination: The One Question That Tells Them Apart

Permutations count arrangements where order matters (1st, 2nd, 3rd place are different outcomes); combinations count selections where order doesn't matter (just who's in the group) — for the same n and r, the permutation count is always larger, since it's counting every possible ordering of each combination separately.

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