Free Permutation Calculator

Calculate the number of permutations (ordered arrangements) of n items taken r at a time. Uses the formula P(n,r) = n! / (n-r)!

Permutations

720

N Factorial3,628,800
N Minus R Factorial5,040

How to Calculate Permutations

Formula

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

Where:

  • n = total number of items
  • r = number of items being chosen
  • ! = factorial
  • Permutations count arrangements where order matters.

    Example Calculation

    How many ways can you arrange 3 items from a set of 10? (Order matters)

    1. 01P(10, 3) = 10! / (10-3)!
    2. 02= 10! / 7!
    3. 03= 10 × 9 × 8
    4. 04= 720

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