Permutation Calculator

Calculate the number of ways to arrange r items from n items where order matters.

  • Free Online Tool
  • Instant Results
  • Mobile Friendly
  • No Installation
  • Secure & Private

Understanding This Calculator

Permutation Formula (nPr)

Arrangements where order matters.

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

Example 1

Arrange 3 items from 3 (n=3, r=3)

  • 3! / 0! = 6 / 1 = 6

Example 2 (Race)

Assign Gold, Silver, Bronze to 8 runners (n=8, r=3)

  • 8! / 5! = 8 × 7 × 6 = 336 ways

How to Use

  • Enter total number of items.
  • Enter how many to arrange.

Frequently Asked Questions

How do I use the Permutation Calculator (nPr)?

Enter your values in the input fields, and the result will appear instantly.

Is this calculator free to use?

Yes, this calculator is 100% free and does not require any registration or subscription.

Is it mobile-friendly?

Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.