Permutation and Combination Calculator

Calculate permutations (nPr) and combinations (nCr). Understand the number of ways to arrange or select items.

Permutations (P) & Combinations (C)

About Permutation & Combination

This calculator helps you determine the number of possible arrangements or selections of a subset of items from a larger set. It computes both Permutations (nPr) where order matters, and Combinations (nCr) where order does not matter.

How to Use?

  • Enter the total number of items (n).
  • Enter the number of items to select/arrange (r).
  • The calculator will display both the Permutation (nPr) and Combination (nCr) results.

Features

  • Dual Calculation: Shows both nPr and nCr simultaneously.
  • Large Number Support: Handles calculations involving factorials of larger numbers.
  • Formula Display: Shows the formula used for transparency.

FAQ

What is the difference between Permutation and Combination?

The main difference is order. In Permutations, the order of arrangement matters (e.g., a lock code). In Combinations, the order does not matter (e.g., selecting a team of players).

What is the formula for Permutation (nPr)?

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

What is the formula for Combination (nCr)?

C(n, r) = n! / [r! * (n - r)!]