Find the number of permutations — ways to arrange r items from n when order matters. Enter n and r.
Permutations
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Order matters.Usage Tip
Permutations are combinations times r factorial — multiply C(n,r) by the orderings of the chosen items.
THE MATH
P(n, r) = n! ÷ (n − r)!
Order matters
Order matters
Permutations count arrangements where order matters, like race finishes or passwords.
There are always more permutations than combinations for the same n and r.
There are always more permutations than combinations for the same n and r.
Enter whole numbers with r no greater than n.
The matching combination count is shown for comparison.
P(n, n) equals n factorial.
The matching combination count is shown for comparison.
P(n, n) equals n factorial.