Calculatorism

Permutation Calculator (nPk)

Compute the number of ordered arrangements P(n,k) = n!/(n−k)!.

Input Data

N
K

Results

Number of permutations.
720
n factorial (for reference).
3,628,800
Explanatory note about the result.
P(10,3) = 10! / 7!

At a glance:P(n,k) = n!/(n−k)!, counting ordered arrangements. Complements combination and factorial.

Formula

P(n,k) = n! / (n−k)!.

How to Use

  1. Enter n and k.
  2. The tool returns the count.

Case Studies

n=5, k=2

P = 20.

FAQ

Permutation vs combination?

Permutation counts order; combination does not.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Permutation Calculator (nPk)（/math/permutation）。