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What is the size of the largest subset ,s , of {1,2,3...100} such that no pair of distinct elements of s has a sum divisible by 7

 Dec 14, 2020
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There are: 100 nCr 2 =4,950 possible sums

 

There are 4243 sums that are NOT divisible by 7, which is also the size of the largest subset

 Dec 14, 2020

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