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Calculator Tools
Probability Calculators

Permutation Calculator

Count arrangements of r items from n when order matters (nPr), with and without repetition.

Enter values

Results update as you type.

Result

P(n, r)

720

With repetition nʳ
1,000
Step-by-stepShow
  1. P(10, 3) = 10! ÷ 7! = 720

About the Permutation Calculator

Count arrangements of r items from n when order matters (nPr), with and without repetition.

Also known as: npr calculator, arrangements calculator, permutations formula, order matters.

How to use this calculator

  1. Enter total items n, arranged r.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Open “Step-by-step” to see how the answer was worked out.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

P(n, r) = n! / (n − r)!

Worked example

Using the values pre-filled in the calculator above:

  • Total items n = 10
  • Arranged r = 3

the calculator returns:

  • P(n, r): 720
  • With repetition nʳ: 1,000

Working

  1. P(10, 3) = 10! ÷ 7! = 720