Permutation Calculator
Calculate the number of ordered arrangements (permutations) of r items chosen from n.
Calculate
Enter your values below.
Result
nPr
0
Formula used
nPr = n! ÷ (n−r)!
Example: 10P3 = 720.
How to use this calculator
- Enter n (total items), r (items chosen).
- Press Calculate to see your result instantly.
FAQ
Frequently asked questions
What is a permutation?
An arrangement of items where the order matters — e.g. 1st, 2nd, 3rd place finishers.
Can r be greater than n?
No — you can't choose more items than exist, so r must be less than or equal to n.
How is this different from combination?
Permutations count different orderings as distinct; combinations treat them as the same.
What is nP0?
Always 1 — there's exactly one way to arrange zero items.