Statistics

Permutations with Repetition Calculator

Count ordered arrangements when repetition is allowed.

Calculated Output

Permutations 10,000

Formula: n^r

Step-by-Step Breakdown

1. Values used:

2. Items to choose from (n) = 10

3. Positions (r) = 4

5. Permutations = 10,000

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The math behind it

Each of the r positions can be any of the n items, giving n^r arrangements.

A 4-digit PIN from 10 digits gives 10^4 = 10000.

Permutation vs combination with repetition?

Permutations count order; combinations don't.