# Finding Different Combinations

Imagine you've been left in charge of an ice cream stall and you have three flavours of ice cream to sell - vanilla, strawberry and chocolate.

If you're selling triples (a cone with three scoops) how many different combinations can you sell?

https://brainmass.com/math/combinatorics/finding-different-combinations-38564

#### Solution Preview

Please see the attached file for the complete solution.

I am not an expert in the field of mathematics and have been given this mathematical equation to boost my problem solving skills and i have no idea on where to start.

The problem is as follows:

imagine you've been left in charge of an ice cream stall and you have three flavours of ice cream to sell - vanilla, strawberry and chocolate.

if you're selling triples (a cone with three scoops) how many different combinations can you sell.

I'm not asking for you to complete this equation for me but to offer some advise on where to start, if there is any algebraic formulae needed and how i might work this out and finally how the equation might be developed further. I've read a few maths books, but have still been left dumfounded. Many thanks in advance for your help!

Analysis.

This is a question involving combinatorial numbers. Thinking of these three types of ice cream: vanilla, strawberry and chocolate,

denoted by ...

#### Solution Summary

Combinations are investigated and discussed in the solution.