यदि \(A=\varnothing\), तो (P(P(A))) क्या होगा?
If \(A=\varnothing\), then what is (P(P(A)))?
Explanation opens after your attempt
Correct Answer
D. \({\varnothing,{\varnothing}}\)
Concept
(P\(\varnothing\)={\varnothing}), so (P(P(A))=P\({\varnothing}\)={\varnothing,{\varnothing}}). The power set of an empty set is not empty.
Why this answer is correct
The correct answer is D. \({\varnothing,{\varnothing}}\). (P\(\varnothing\)={\varnothing}), so (P(P(A))=P\({\varnothing}\)={\varnothing,{\varnothing}}). The power set of an empty set is not empty.
Exam Tip
(P\(\varnothing\)={\varnothing}), इसलिए (P(P(A))=P\({\varnothing}\)={\varnothing,{\varnothing}})। खाली समुच्चय का पावर सेट खाली नहीं होता।
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