Permutation Calculator
Use this permutation calculator to find the number of arrangements when order matters. Enter values of n and r to calculate nPr instantly.
Permutation Formula
The formula for permutation is:
nPr = n! / (n − r)!
where:
- n = total number of items
- r = number of items selected
Example Calculation
If n = 5 and r = 3:
nPr = 5! / (5 − 3)! = 5! / 2! = 60
Frequently Asked Questions
When should permutations be used?
Permutations are used when the order of selection matters, such as seating arrangements or ranking problems.
What if r is greater than n?
Permutations are not defined when r is greater than n.