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An ice cream shop sells five-scoop ice cream cones, allowing customers to pick which flavors they...

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Basic Math

An ice cream shop sells five-scoop ice cream cones, allowingcustomers to pick which flavors they want stacked on their cone.The shop has the following ice cream flavors available: chocolate,vanilla, strawberry, mint & chocolate chip, rocky road, cookies& cream, cookie dough, cotton candy, butter pecan, birthdaycake, and cherry. Note that customers can order a five-scoop conewith multiple scoops of the same flavor.

a) How many five-scoop cones are possible if order of the icecream scoops matter?

b) How many groupings of five flavors are possible for afive-scoop cone (meaning that scoop order is ignored)?

c) If a customer asks to be “surprised” by a randomizedfive-scoop cone, how likely is it that they will receive a conewith five scoops of the same ice cream flavor if the process istruly random?

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