Permutation Calculator
Calculate permutations nPr (order matters).
Formula: nPr = n! / (n−r)!
Worth Knowing
Permutations count arrangements where order matters, so ranking three finishers from eight runners is a permutation, not a combination. That's why nPr is always at least as large as nCr for the same numbers — every unordered selection corresponds to several ordered ones. Permutations appear whenever sequence carries meaning: passwords, race podiums, seating arrangements, and the number of ways to shuffle a deck (52! — a number with 68 digits).
How to Use
- Enter n (total items) into the first field of the Permutation Calculator.
- Fill in the rest: r (chosen).
- Your result appears instantly as you type — there's no submit button or page reload.
Formula
nPr = n! / (n−r)!