Combination with Replacement

Calculate combinations where items can be chosen multiple times (with replacement).

Combinations with Replacement35

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Combinations with Replacement

This is used when you want to choose r items from a menu of n distinct types of items, and you are allowed to pick the same type of item more than once (like choosing 5 scoops of ice cream from 10 available flavors, where order doesn't matter).

The Formula

Also known as "Stars and Bars", the formula is: (n + r - 1)! / (r! × (n - 1)!).