Permutation Calculator

Enter value and click on calculate. Result will be displayed.
Enter n :
Enter r :
Result:
Permutation :

A Permutation Calculator is a tool that calculates the number of possible arrangements of a set of items where order matters. In other words, it tells you how many different ways you can organize or sequence a group of objects.

Why use a Permutation Calculator?

  • Counting possible outcomes: Useful in statistics and probability when order is important (like ranking participants or arranging seats).
  • Solving combinatorial problems: Helps in figuring out possible passwords, event schedules, or team lineups.
  • Efficiency: Calculating permutations by hand gets tricky when the numbers get large.

How does a Permutation Calculator work?
The formula for permutations is:

Where:

  • n = total number of items
  • r = number of items being arranged
  • ! = factorial (e.g., 5! = 5 × 4 × 3 × 2 × 1)

Example:
Let’s say you have 6 books and you want to arrange 3 of them on a shelf:

So there are 120 possible arrangements.

When would you use a Permutation Calculator?

  • Event planning: Arranging speakers or participants in a specific order.
  • Competitions: Determining possible rankings.
  • Cryptography: Understanding possible code combinations.
  • Games and puzzles: Figuring out different possible moves or arrangements.