Which of these relations on {0, 1, 2, 3} are?equivalence relationsa) {(0, 0), (1, 1), (2, 2), (3, 3)}b) {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3, 2), (3,3)}c) {(0, 0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)}d) {(0, 0), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3,2), (3,3)}

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Which of these relations on {0, 1, 2, 3} are * ?equivalence relations а) ((0, 0), (1, 1), (2, 2), (3, 3)} b) {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3, 2), (3, 3)} с) (0, 0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)} d) {(0, 0), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3, 2), (3,3)}

Which of these relations on {0, 1, 2, 3} are * ?equivalence relations а) ((0, 0), (1, 1), (2, 2), (3, 3)} b) {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3, 2), (3, 3)} с) (0, 0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)} d) {(0, 0), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3, 2), (3,3)}

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Which of these relations on {0, 1, 2, 3} are
?equivalence relations
a) {(0, 0), (1, 1), (2, 2), (3, 3)}
b) {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3, 2), (3,
3)}
c) {(0, 0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)}
d) {(0, 0), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3,
2), (3,3)}

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