Consider the sets $A=\{2,4,5,7\}$ and $B=\{3,4,6,7\}.$

If $P(AB)$ is the power set of $AB,$ then which of the following is false?

$\{\{4,7\}\}$is included in $P(AB)$

$\{4,7\}$is included in $P(AB)$

$\{\{7\}\}is$ included $inP(AB)$

$\{4\}isan$ element $ofP(AB)$