Statistics

Combinations with Repetition Calculator

Count combinations when repetition is allowed.

Parameters Live Compute
Calculated Output
Combinations 35
Formula: C(n + r - 1, r)
Step-by-Step Breakdown
1. Values used:
2. Items to choose from (n) = 5
3. Number chosen (r) = 3
4.
5. Combinations = 35
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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.

Frequently Asked Questions

When does repetition apply?

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

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