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How Many Icecreams?: Solution

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icecream

 

The Sloppy Ice Cream Dairy has four flavours of ice cream. How many ice creams can you buy that have two different flavours side by side in the cone?

Solution

Suppose the flavours are vanilla (V), chocolate (C), strawberry (S), and boysenberry (B). We’ll now make a list to show all possible cones. Remember that we have to use different flavours in each cone and that the different types of ice cream are side by side in the top of the cone. Because they are beside eachother the order of the flavours doesn't matter, for example,VC = CV. Here are the possibilities:

VC     VS     VB     CS      CB     SB

There are 6 different icecreams.

Extensions

How many different ice creams can you buy if the different flavours are placed one on top of the other in the cone? (now there will be a difference between VC and CV).

How many different ice creams can you make if there are 5 flavours available?