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Six children are each offered a single scoop of any of 3 flavors of ice cream from the Combinatorial Creamery. In how many ways can each child choose a flavor for their scoop of ice cream so that each flavor of ice cream is selected by at least two children?

 Feb 20, 2023
 #1
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That depend on which child in the queue you are talking about.

The first 2 children can choose any that they want.

After that it dpends on what the ealier children have.

 

what you have here is 2 scoops of each flavour, distributed one each to 6 different shildren.

AABBCC   that is the scoops.

How many ways can that be arranged.

 

6!/(2!2!2!) = 6!/8 = 3*5*6 = 90 ways that the icecream can be given out.

 Feb 20, 2023

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