Let A = {1, 2, 3}. Then number of equivalence relations containing (1, – InterviewSolution

1.

Let A = {1, 2, 3}. Then number of equivalence relations containing (1, 2) is (A) 1 (B) 2 (C) 3 (D) 4

Answer»

Answer is (B)

(i) {(1, 1), (1, 2), (2, 1), (2,2), (2, 3)}

(ii) {(1,1), (2,2), (3,3), (1,2), (2,1), (1,3), (3,1)} (2,3), (3,2)}

There are two equivalence relation

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