Let S denote the set of all 4-element permutations of the set {1, 2, 3, 4, 5, 6, 7, 8, 9). Define an equivalence relation on S as follows: two permutations x, y € S are related if they both permute the same elements (i.e., generate the same subset). Determine the size of the equivalence class S6789 [6789] that contains the permutation = 6789. Enter your answer in the box below.

Let S denote the set of all 4-element permutations of the set {1, 2, 3, 4, 5, 6, 7, 8, 9). Define an equivalence relation on S as follows: two permutations x, y € S are related if they both permute the same elements (i.e., generate the same subset). Determine the size of the equivalence class S6789 [6789] that contains the permutation = 6789. Enter your answer in the box below.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 10E: In Exercises , a relation is defined on the set of all integers. In each case, prove that is an...

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