Permutation and Combination Calculator
Calculate nPr, nCr and factorials exactly, even for large numbers.
- Permutations nPr (order matters)
- 720
- Combinations nCr (order does not matter)
- 120
- n! (factorial of n)
- 3,628,800
What is Permutation and Combination Calculator?
Permutations count the ways to arrange items when order matters. Combinations count the ways to choose items when order does not matter.
They are the basis of probability questions such as lottery odds.
What this tool does
Takes n and r and shows nPr, nCr and n factorial. It uses exact whole number arithmetic, so large answers are correct to the last digit.
How to use it
- Enter the total number of items, n.
- Enter how many you choose, r.
- Read the permutations, combinations and factorial.
Did you know?
- There are 2,598,960 different five-card poker hands in a 52 card deck.
- Factorials grow very fast: 20! is already more than 2 quintillion.