Permutation & Combination Calculator

Calculate the number of ways to order (Permutation) or select (Combination) items from a set.

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?

  1. Enter the total number of items (n).
  2. Enter the number of items to select/arrange (r).
  3. 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)!]