an ice cream shop serves 5 different flavours of ice cream chocolate strawberry banana vanilla a

Step 1: For part a) where we are only allowed at most 1 scoop of each flavor, we calculated that

Question

An ice cream shop serves 5 different flavors of ice cream: chocolate, strawberry, banana, vanilla, and mango. You have paid for a 3-scoop bowl of ice cream. a) Assume you are only allowed at most 1 scoop of each flavor. How many different 3-scoop bowl variations can you have? b) Now assume that flavor repetitions are allowed (for example, you can have all 3 scoops be chocolate). How many different 3-scoop bowl variations can you have in this case? Note: The actual arrangement of the scoops in the bowl is not important.

          An ice cream shop serves 5 different flavors of ice cream: chocolate, strawberry, banana, vanilla, and mango. You have paid for a 3-scoop bowl of ice cream.
a) Assume you are only allowed at most 1 scoop of each flavor. How many different 3-scoop bowl variations can you have?
b) Now assume that flavor repetitions are allowed (for example, you can have all 3 scoops be chocolate). How many different 3-scoop bowl variations can you have in this case?
Note: The actual arrangement of the scoops in the bowl is not important.

Added by Kara B.

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