Permutation & Combination Calculator

Count ordered permutations and unordered combinations for n objects chosen r at a time.

Enter your values

Change any field. The result is recalculated on this device.

Your result

Local calculation
Combinations (nCr)120
Permutations (nPr)
720

How this calculation works

Count ordered permutations and unordered combinations for n objects chosen r at a time. The result is calculated locally in your browser from the visible inputs, and the method below remains available for checking.

nPr = n! ÷ (n−r)!; nCr = n! ÷ (r!(n−r)!).

Worked example

Choosing 3 from 10 gives 120 combinations and 720 ordered permutations.

Assumptions and limits

  • Inputs use the units shown beside each field.
  • Intermediate values retain precision; displayed values are rounded for readability.

Questions people ask

How does the Permutation & Combination Calculator work?

It applies this displayed method: nPr = n! ÷ (n−r)!; nCr = n! ÷ (r!(n−r)!). Values stay in your browser and are not submitted to a server.

What should I check before using the Permutation & combination result?

Inputs use the units shown beside each field. Intermediate values retain precision; displayed values are rounded for readability. The result follows the displayed mathematical definition and the precision of the values entered.

Does this Permutation & combination calculator save my information?

No. Calculation inputs are processed on this device. Sharing creates a URL only when you choose the share action.

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