Show that the number of equivalence relation in the set {1, 2, 3} containing(1, 2) and (2, 1) is two.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 27E: Prove Theorem 1.40: If is an equivalence relation on the nonempty set , then the distinct...
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Show that the number of equivalence relation in the set {1, 2, 3} containing
(1, 2) and (2, 1) is two.

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