यदि (A) एक रिक्त समुच्चय है, तो (\mathcal{P}(\mathcal{P}(A))) में कितने तत्व होंगे?
If (A) is an empty set, how many elements are in (\mathcal{P}(\mathcal{P}(A)))?
Explanation opens after your attempt
Correct Answer
B. (2)
Concept
If \(A=\emptyset\), then (\mathcal{P}(A)={\emptyset}). Hence (\mathcal{P}(\mathcal{P}(A))) has \(2^1=2\) elements.
Why this answer is correct
The correct answer is B. (2). If \(A=\emptyset\), then (\mathcal{P}(A)={\emptyset}). Hence (\mathcal{P}(\mathcal{P}(A))) has \(2^1=2\) elements.
Exam Tip
यदि \(A=\emptyset\), तो (\mathcal{P}(A)={\emptyset}) है। इसलिए (\mathcal{P}(\mathcal{P}(A))) में \(2^1=2\) तत्व हैं।
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