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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.

Also known as npr calculator, arrangements calculator, permutations formula.

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.

Permutation 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