यदि \(A={\varnothing,{\varnothing}}\) है, तो (|\mathcal{P}(A)|) कितना है?
If \(A={\varnothing,{\varnothing}}\), what is (|\mathcal{P}(A)|)?
Explanation opens after your attempt
C. (4)
Concept
The set (A) has two distinct members \(\varnothing\) and \({\varnothing}\), so (|\mathcal{P}(A)|=22=4). In exams, be careful while counting nested elements.
Why this answer is correct
The correct answer is C. (4). The set (A) has two distinct members \(\varnothing\) and \({\varnothing}\), so (|\mathcal{P}(A)|=22=4). In exams, be careful while counting nested elements.
Exam Tip
समुच्चय (A) में दो अलग सदस्य \(\varnothing\) और \({\varnothing}\) हैं, इसलिए (|\mathcal{P}(A)|=22=4)। परीक्षा में nested elements को गिनते समय सावधान रहें।
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