mathschallenge.net

Problem

By using positive integers, how many different ways can you make a sum that is equal to six?

For example you could use:

3 + 1 + 1 + 1 = 6
4 + 2 = 6
1 + 2 + 3 = 6

(Consider 4 + 2 to be the same as 2 + 4)