If A={ϕ,{ϕ}} then the power set of A is
A
{ϕ,{ϕ},A}
{ϕ,{ϕ},{{ϕ}},A}
None of these
we have, A={ϕ,{ϕ}}
Subset of set A are ϕ,{ϕ},{{ϕ}},{ϕ,{ϕ}}.'. Power set of A i.e.
P(A)={ϕ,{ϕ},{{ϕ}},{ϕ,{ϕ}}}⇒P(A)={ϕ,{ϕ},{{ϕ}},A}