August 18th, 2010, 10:08 PM  #1 
Newbie Joined: Aug 2010 Posts: 4 Thanks: 0  integers
Suppose a1, a2, a3, a4, a5, a6, a7, a8 are eight distinct integers from {1,2...,16,17}. Show that there is an integer k>0 so that there are at least 3 different (not necessarily disjoint) pairs i and j so that ai  aj = k Also find a set of seven distinct integers {1,2,...16,17} such that there in no integer k > 0 with that property. 

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