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Topic: Functions - Pigeonhole Principle
Replies: 1   Last Post: Sep 12, 2008 12:35 AM

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ezra

Posts: 1
Registered: 9/11/08
Functions - Pigeonhole Principle
Posted: Sep 11, 2008 4:51 PM
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Let S be a set of eight positive integers each of which is less than 30. Show that there must be two distinct subsets of S whose elements add up to the same sum. For instance, if the eight numbers are {2,4,5,8,12,15,18,24}, the two distinct subsets can be {2,4,12,15} and {4,5,24}. The sum in both of these is 33.

any one can help to explain and solve this? urgent.. :(



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