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Permutation & Combination Calculator
Calculate permutations (nPr) and combinations (nCr) for n and r.
Free · No sign-up · Updated August 2026
Permutations ⁿPᵣ (10P3)
720
Order matters
Combinations ⁿCᵣ (10C3)
120
Order doesn't matter
Permutations count ordered arrangements (nPr = n!/(n−r)!); combinations count unordered selections (nCr = n!/(r!(n−r)!)).
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Frequently asked questions
What's the difference between a permutation and a combination?＋
Permutations count ordered arrangements (nPr = n!/(n−r)!); combinations count selections where order doesn't matter (nCr = n!/(r!(n−r)!)).
When do I use each?＋
Use permutations when order matters (like a race podium) and combinations when it doesn't (like choosing a committee).