basic

Permutations with Repetition Calculator

P_rep = n^r — choosing r items from n with replacement, order matters.

Compute the number of ordered arrangements of length r drawn from a pool of n distinct items where repetition is allowed (e.g. a 4-digit PIN over 10 digits): P_rep = n^r.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P = n^r

In depth

Compute the number of ordered arrangements of length r drawn from a pool of n distinct items where repetition is allowed (e.g. a 4-digit PIN over 10 digits): P_rep = n^r.