Show that in a group of five people (where any two people are either friends or enemies), there are not necessarily three mutual friends or three mutual enemies.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 40E: 40. Prove or disprove that .
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Show that in a group of five people (where any two people are either friends
or enemies), there are not necessarily three mutual friends or three mutual
enemies.

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