But wait, there's more...

Terry says she can partition the set {1,2,...,16} into two subsets S and T of the same size so that:

- The sum of the numbers in S equals the sum of the numbers in T;

- The sum of the squares of the numbers in S equals the sum of the squares of the numbers in T; AND

- The sum of the cubes of the numbers in S equals the sum of the numbers of the cubes of the numbers in T

**c** show terry is right

Willy says he can partition the set {1,2,...,8} into two subsets S and T, not necessarily of the same size so that

- The sum of the numbers in S and T are equal

- The sum of the squares are equal

- The sum of the cubes are equal

**d** explain why you do not belive Willy

thanks