Permutations Calculator

Calculate the number of possible arrangements from a set of items

Understanding Permutations

Formula

P(n,r) = n! / (n-r)!

Where n is the total number of items and r is the sample size

Example

If you have 5 different books and want to arrange 3 of them on a shelf, you would have:

  • n = 5 (total books)
  • r = 3 (books to arrange)
  • P(5,3) = 60 different possible arrangements