For a set \(A\), the power set of \(A\) is denoted by \(2^A\). If \(A =…

For a set $A$, the power set of $A$ is denoted by $2^A$. If $A = \{5,\{6\},\{7\}\}$, which of the following options are TRUE?

I. $\emptyset \in 2^A$

II. $\emptyset \subseteq 2^A$

III. $\{5,\{6\}\} \in 2^A$

IV. $\{5,\{6\}\} \subseteq 2^A$