यदि \(A=\varnothing\) है, तो (\mathcal{P}(\mathcal{P}(A))) में कितने सदस्य होंगे?
If \(A=\varnothing\), how many members are there in (\mathcal{P}(\mathcal{P}(A)))?
Explanation opens after your attempt
Correct Answer
B. (2)
Concept
(\mathcal{P}\(\varnothing\)={\varnothing}) has (1) member, so (\mathcal{P}(\mathcal{P}(A))) has \(2^1=2\) members. Treat the empty set and its power set separately.
Why this answer is correct
The correct answer is B. (2). (\mathcal{P}\(\varnothing\)={\varnothing}) has (1) member, so (\mathcal{P}(\mathcal{P}(A))) has \(2^1=2\) members. Treat the empty set and its power set separately.
Exam Tip
(\mathcal{P}\(\varnothing\)={\varnothing}) में (1) सदस्य है, इसलिए (\mathcal{P}(\mathcal{P}(A))) में \(2^1=2\) सदस्य होंगे। खाली समुच्चय और उसके घात समुच्चय को अलग समझें।
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