Permutation Calculator
P(n, r) = n! / (n − r)! for ordered arrangements.
Best for: Use it for rankings, race finishes, passwords, seat orderings - anywhere order matters.
Input
How it's calculated & sources
Free & no sign-up · runs entirely in your browser. Results are estimates for general information, not professional advice — verify important decisions with a qualified expert. Last reviewed June 2026.
How it works
P(n, r) = n! / (n − r)! — number of ordered arrangements of r items from n.
Example
P(5, 2) = 5! / 3! = 20
Frequently asked questions
Permutation vs combination?+
Permutation cares about order (ABC ≠ CAB). Combination ignores order (ABC = CAB).
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