An ice cream stand has nine different flavors. A group of children come to the stand and each buys a double scoop cone with two flavors of ice cream.If none of the children choose the same combination of flavors ,but all possible combinations of flavors are used, how many children are there?

Question

An ice cream stand has nine different flavors. A group of children come to the stand and each buys a double scoop cone with two flavors of ice cream.If none of the children choose the same combination of flavors ,but all possible combinations of flavors are used, how many children are there?
Flavors: Vanilla, Maple, Chocolate,Tiger, Raspberry,Strawberry, Coffee, Moon Mist, Cherry Vanilla

Reiny · Answer

There are 9 things to choose from and we choose 2 of them There are C(9,2) such choices or 36 choices, which must match the number of children