SOLUTION: N lattice points in coordinate 8-space are chosen at random. The line segments joining all pairs of these N points are drawn. What is the smallest value of N that guarantees that t

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Question 1162884: N lattice points in coordinate 8-space are chosen at random. The line segments joining all pairs of these N points are drawn. What is the smallest value of N that guarantees that the midpoint of at least one of the resulting line segments is itself a lattice point?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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This post makes very few sense, if any.

The answer is that there is NO such number N.