Question

You are buying a triple deck ice cream cone with fudge

​,
peach
​,
and vanilla

as possible flavors. The flavors can be repeated or​ not, and two cones are considered to be different if the flavors are the same but occur in different order. How many different cones are possible that have 3

different flavors
​?

Answer 1

This is a question on permutations, the answer is 3P3, this gives you the answer of 6. This can also be worked out by thinking about all the possible options and writing them down, making sure that you don't repeat any, this is only possible because the numbers are small.