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# If $A=\{1,2,3\}$ then the no. of relations in $A$ containing $(1,2)$ and $(1,3)$ which are reflexive and symmetric but not transitive is

$\begin{array}{1 1} 1 \\ 2 \\3 \\ 4 \end{array}$

Can you answer this question?

Ans: (A) 1
$R=\{(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)\}$
Here (3,1),(1,2)$\in\:$ R but (3,2) $\notin$ R
answered May 1, 2013
edited May 17, 2014