Answered: Let A = {1, 2, 3, 4, 5, 6} How many…

Let A = {1, 2, 3, 4, 5, 6} How many equivalence relations on A have... (a)... exactly two equivalence classes of size 3? (b) ... exactly one equivalence class of size 3?

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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Question

Let A = {1, 2, 3, 4, 5, 6}
How many equivalence relations on A have...
(a)... exactly two equivalence classes of size 3?
(b) ... exactly one equivalence class of size 3?

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