(960): Let $A = \{ 1,2,3,4\}$\\ $\therefore\ n(A) = 4$ $\therefore\$ Number of reflexive and symmetric relation\\ $= 2^{\frac{n^{2} - n}{2}} = 2^{6}$ \begin{enumerate} \def\labelenumi{\arabic{enumi}.} \setcounter{enumi}{41} Number of symmetric relation $= 2^{n(n + 1)/2} = 2^{10}$\\ $\therefore\$ Number of relation which is symmetric but not reflexive $= 2^{10} - 2^{6} = 1024 - 64 = 960$ \end{enumerate}