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Permutation Calculator

Result

Calculated result 720 Based on the values entered.
↗ Math

Permutation Calculator (nPr) Permutation Calculator (nPr) is a mathematics calculator that helps you calculate permutation calculator (npr) values from your input data. The formula used is: nPr = n! / (n−r)! · nCr = n! / (r! × (n−r)!). Ensure all inputs s — free online calculator.

Formula

nPr = n! / (n−r)! · nCr = n! / (r! × (n−r)!)
  • Permutation Calculator calculates its result from n, r. It uses the formula nPr = n! / (n−r)! · nCr = n! / (r! × (n−r)!). Change any input to recalculate the result instantly.
  • The main inputs are n, r. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Permutation

Inputs
  • n: 10
  • r: 3

Using n = 10, r = 3, the calculated result is 720.

Sample result: Calculating…

Frequently asked questions

What does the Permutation calculate?

Permutation Calculator (nPr) Permutation Calculator (nPr) is a mathematics calculator that helps you calculate permutation calculator (npr) values from your input data. The formula used is: nPr = n! / (n−r)! · nCr = n! / (r! × (n−r)!). Ensure all inputs s — free online calculator.

Which values should I enter?

Enter n, r using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: nPr = n! / (n−r)! · nCr = n! / (r! × (n−r)!).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026