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Subsetting a set (Posted on 2004-06-29) Difficulty: 3 of 5
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!).

See The Solution Submitted by Federico Kereki    
Rating: 3.8000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): Second part | Comment 7 of 9 |
(In reply to re(2): Second part by Charlie)

Of course!  (Slaps forehead.)
  Posted by Nick Hobson on 2004-06-29 14:44:03

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