Permutations with Repetition Calculator

Count ordered arrangements when repetition is allowed.

Permutations 10,000

Formula: n^r

Step-by-step with your numbers:

1. Values used:

2. Items to choose from (n) = 10

3. Positions (r) = 4

5. Permutations = 10,000

Did we solve your problem today?

When order matters and items can repeat, the count is simply n to the power r.

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.