If C is a set with $0\mathrm{.}5$ If $C$ is a set with $c$ elements, how many elements are in the power set of $C?$ Explain your answer.

$0\mathrm{.}6$ Let $x$ be the set $\{1,2,3,4,5\}$ and $Y$ be the set $\{6,7,8,9,10\}.$ The unary function $f$:xlongrightarrowY and the binary function $g$:$x$YlongrightarrowY are described in the following tables.