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Answer to Question #17709 in Discrete Mathematics for peace

Question #17709
Suppose that in the world every pair of people either
(a) likes one another,
(b) dislikes one another, or
(c) is indifferent toward one another.
Prove that in any gathering of 17 people, there is a group of three people all of whom satisfy
one of conditions (a), (b) or (c).
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