Permutation Calculator

Math & Education Utility

Permutation Calculator

Calculate ordered selections nPr exactly for nonnegative whole numbers.

Calculate nPr

—

Enter n and r with 0 ≤ r ≤ n.

Formula

nPr = n! / (n − r)!, equivalent to multiplying the integers from n − r + 1 through n.

Worked examples

  • 5P2 = 5 × 4 = 20.
  • 10P0 = 1.
  • 10P10 = 3,628,800.

Privacy

The calculation runs locally in the browser.

Limitations

Inputs must be whole numbers with 0 ≤ r ≤ n. Very large exact results can contain many digits, so this version limits n to 1000 for practical browser use.

Related tools


© 2026 Practical Tools Hub · About · Contact · Privacy Policy