Combinations with Repetition Calculator

Count combinations when repetition is allowed.

Combinations 35

Formula: C(n + r - 1, r)

Step-by-step with your numbers:
1. Values used:
2. Items to choose from (n) = 5
3. Number chosen (r) = 3
4.
5. Combinations = 35
Did we solve your problem today?

When you can pick the same item more than once, use combinations with repetition.

The math behind it

The count is C(n + r - 1, r), the 'stars and bars' formula.

Worked example

Choosing 3 from 5 with repetition gives 35.

FAQ

When does repetition apply?

When items can be selected multiple times, like scoops of ice cream flavors.