Answer: Let A be a set of six positive integers each of

Chapter 9, Problem 9.166

(choose chapter or problem)

Let A be a set of six positive integers each of which is less than 13. Show that there must be two distinct subsets of A whose elements when added up give the same sum. (For example, if A ={ 5,12,10,1,3,4}, then the ele-ments of the subsets S1 ={ 1,4,10}and S2 ={ 5,10}bothadd up to 15.)

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