Question

Let A = {1,2,3}. Then, the number of relations containing {1, 2} and {1, 3} which are reflexive, symmetric but not transitive are

(A) 1

(B) 2

(C) 3

(D) 4

Answer 1

A) 1

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There is only one relation containing (1, 2) and (1, 3), which is reflexive and symmetric but not transitive is {1, 1}.