If $A = \{x \in z^{+} : x < 10$ and $x$ is a multiple of 3 or 4$\}$, where $z^{+}$ is the set of positive integers, then the total number of symmetric relations on $A$ is (1) $2^{5}$ (2) $2^{15}$ (3) $2^{10}$ (4) $2^{20}$
If $A = \{x \in z^{+} : x < 10$ and $x$ is a multiple of 3 or 4$\}$, where $z^{+}$ is the set of positive integers, then the total number of symmetric relations on $A$ is\\
(1) $2^{5}$\\
(2) $2^{15}$\\
(3) $2^{10}$\\
(4) $2^{20}$