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?
+118608 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.
