Let Z = {1,2, 3, ...,50}. a. How many relations on the set Z are both reflexive and antisymmetric? Explain your answer. b. How many relations, R, on Z are there with |R| = 200?
Let Z = {1,2, 3, ...,50}. a. How many relations on the set Z are both reflexive and antisymmetric? Explain your answer. b. How many relations, R, on Z are there with |R| = 200?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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