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Question

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

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

The correct option is D {ϕ,{ϕ},{{ϕ}},A}
To find power set of A, we have to find subsets of set A.

There are four subsets of set A-
1. ϕ
2. (ϕ)
3. {(ϕ)}
4. {ϕ,{(ϕ)}}

Thus, power set of set A is,
P(A)={ϕ,(ϕ),{(ϕ)},{ϕ,{(ϕ)}}}

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