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🧮Permutation & Combination Calculator

Free online permutation and combination calculator. Compute nPr and nCr for any n and r with steps and BigInt support.

Permutation & Combination Calculator

Supports n up to 1000. Calculations use BigInt for arbitrary precision.

Mode
Permutation (nPr) — order matters
P(10, 3)
720
10! / (7)! = 3628800 / 5040 = 720
Combination (nCr) — order doesn't matter
C(10, 3)
120
10! / (3! × 7!) = 3628800 / (6 × 5040) = 120
Factorials
n!
3,628,800
r!
6
(n-r)!
5,040

About Permutation & Combination Calculator

The Permutation & Combination Calculator computes permutations nPr = n!/(n-r)! and combinations nCr = n!/(r!(n-r)!), using BigInt for factorial calculation to support large values of n, with step-by-step explanation. All calculation runs locally in your browser.

Features

  • Permutations nPr = n!/(n-r)!
  • Combinations nCr = n!/(r!(n-r)!)
  • Factorial calculation with BigInt
  • Step-by-step explanation
  • Supports large values of n

Frequently Asked Questions

What is the difference between permutation and combination?
Permutations care about order (ABC ≠ BAC), while combinations treat the same items in any order as one group.
Is there a limit on n?
The tool uses BigInt, so it can handle very large n, but extremely large values may slow down the factorial computation.