If $A = \phi$ , then number of elements in $P(P(P(P(P(A)))))$ is
Details :
$A = \phi$ means set A has no element.
P(A) denotes the power set of A
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$\Rightarrow A = \phi$
$\Rightarrow n(A) = 0 \quad \quad \quad[ \text{n(A) denotes number of elements in A ] }$
$\Rightarrow n(P(A)) = 2^n = 2^0 = 1$
$\Rightarrow n(P(P(A))) = 2^1 = 2$
$\Rightarrow n(P(P(P(A)))) = 2^2 = 4$
$\Rightarrow n(P(P(P(P(A))))) = 2^4 = 16$
$\Rightarrow n(P(P(P(P(P(A)))))) = \boxed{2^{16}}$