Permutation Calculator
Calculate the number of ordered arrangements when choosing r items from a set of n distinct items.
Number of Permutations0
FormulanPr = n! / (n-r)!
n!0
(n-r)!0
How to Use the Permutation Calculator
Enter the total number of items and the number selected to calculate how many ordered arrangements are possible.
Practical Example
If you choose 3 ordered positions from 5 distinct items, the number of permutations is 5 × 4 × 3 = 60.
Factors That Affect the Result
The result changes depending on whether order matters, whether repetition is allowed and whether all items are distinct.
Frequently Asked Questions
What is a permutation?
A permutation counts arrangements where order matters.
How is nPr calculated?
Use n! divided by (n − r)! when repetition is not allowed.
What is the difference between permutation and combination?
Permutations care about order; combinations do not.