Question

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

A. 1
B. 2
C. 3
D. 4

Answer 1

R={(1,2),(2,1),(1,3),(3,1),(1,1)} is the only relation.

The addition of (2,2) or (3,3) will make R transitive.