यदि \(A={\varnothing,{\varnothing},{{\varnothing}}}\) है, तो (|\mathcal{P}(A)|) कितना होगा?
If \(A={\varnothing,{\varnothing},{{\varnothing}}}\), what is (|\mathcal{P}(A)|)?
Explanation opens after your attempt
Correct Answer
C. (8)
Concept
The set (A) has (3) distinct members, so (|\mathcal{P}(A)|=23=8). Nested sets should be counted as separate elements.
Why this answer is correct
The correct answer is C. (8). The set (A) has (3) distinct members, so (|\mathcal{P}(A)|=23=8). Nested sets should be counted as separate elements.
Exam Tip
समुच्चय (A) में (3) अलग-अलग सदस्य हैं, इसलिए (|\mathcal{P}(A)|=23=8)। nested sets को अलग तत्व मानकर गिनना चाहिए।
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