If A={ϕ,{ϕ}} then the power set of A is

If $A = {ϕ, {ϕ}}$ then the power set of A is

A
A
B
${ϕ, {ϕ}, A}$
C
${ϕ, {ϕ}, {{ϕ}}, A}$
D
None of these

Solution:

we have, $A = {ϕ, {ϕ}}$

Subset of set A are $ϕ, {ϕ}, {{ϕ}}, {ϕ, {ϕ}}$
.'. Power set of A i.e.

$\begin{aligned} P (A) = {ϕ, {ϕ}, {{ϕ}}, {ϕ, {ϕ}}} \\ \Rightarrow P (A) = {ϕ, {ϕ}, {{ϕ}}, A} \end{aligned}$

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