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Permutation and combination calculator

Compute exact ordered and unordered selections with or without repetition.

Get started

  1. Use the example values or enter your own measurements.
  2. Calculate, then copy the result or download the available details.

Example

Input

n=10, r=3, without repetition

Expected result

720 permutations; 120 combinations

Try it

Good to know

The calculation runs in your browser. Use consistent units in fields with no explicit unit.

Calculation method

Without repetition, nPr = n!/(n−r)! and nCr = nPr/r!. With repetition, ordered choices are nʳ and unordered choices are C(n+r−1,r).