Permutation Calculator
Permutation (nPr)
How many ways to arrange r items from n items (order matters)
Formula
nPr = n! / (n-r)! | nCr = nPr / r!
Frequently Asked Questions
What is a permutation?
A permutation is an ordered arrangement. P(n,r) = n!/(n-r)! counts how many ways to arrange r items from n. Example: How many 3-letter 'words' from ABCDE? P(5,3) = 60.
Permutation vs combination?
Permutation: order matters (ABC ≠ BAC). Combination: order doesn't matter (ABC = BAC). nPr = nCr × r!. Permutations are always ≥ combinations.
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