Talk:1986 AIME Problems/Problem 12

The solution written here in the AOPS Wiki for this problem seems to incorrect. It is proven that indeed there must be subsets with the same sum when has more than 5 elements. However, it is not proven that these subsets are disjoint, which is required because the problem condition states that "no two subsets of have the same sum," not "no two subsets of have the same sum."