Out of the set {1,2,3...100} take any subset of ten numbers and call it T. Prove you can find two disjoint subsets of T such as the sum of the numbers in each subset is the same.
Note: the subsets need not include every number in T; in fact, if you asked for this condition, the problem might be impossible (prove it!).
(In reply to
re: solution 1st part by Richard)
That's true... but as Charlie noted... the 10 elements are not limited to 1-10.... they are limited to the problem's 1-100.
So, they could be the numbers 91-100.
re(2): solution 1st part
