Skip to tool

Permutation Calculator

The Permutation Calculator calculates the number of permutations of selecting 'r' items...

How to Use This Tool

  1. Enter the total number of items (n).
  2. Enter the number of items to select (r).
  3. The calculator will automatically compute and display the total number of permutations.

Learn More About Permutation Calculator

Understanding Permutations

A permutation is an arrangement of objects in a specific order. The number of permutations of 'n' objects taken 'r' at a time is denoted as nPr.

Permutation Formula

nPr = n! / (n - r)!

Example

If you have 5 items and want to select 3 in a specific order, the number of permutations is 5P3 = 5! / (5-3)! = 5! / 2! = 60.

About

The Permutation Calculator calculates the number of permutations of selecting 'r' items from a set of 'n' items, where the order of selection matters. It uses the formula nPr = n! / (n-r)!

Use Cases

  • Determining the number of possible arrangements.
  • Calculating probabilities in situations where order matters.
  • Solving combinatorial problems.
  • Used in cryptography and computer science.

Frequently Asked Questions