Permutations Calculator

Count the ways to choose and arrange r items out of n when order matters.

Whole numbers up to 1,000.
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Permutations
Exact value
Combinations (order doesn’t matter)
Formula
Work

Saved Calculations

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Permutation Formulas

Without repetition: nPr = n! ÷ (n − r)!   With repetition: nʳ

Use permutations when the order matters (rankings, passwords, seating). If order doesn’t matter (a hand of cards, a committee), use combinations, which are shown too.

Worked Example

Tips

Numbers grow very fast, so this page uses exact whole-number math; large results are shown in scientific notation with every digit listed below.