किसी समुच्चय (A) के लिए (n(\mathcal{P}(\mathcal{P}(A)))=16) है, तो (n(A)) कितना है?
For a set (A), (n(\mathcal{P}(\mathcal{P}(A)))=16). What is (n(A))?
Explanation opens after your attempt
Correct Answer
B. (2)
Concept
Here \(2^{2^{n(A)}}=16=2^4\), so \(2^{n(A)}=4\) and (n(A)=2). Apply the power set formula twice.
Why this answer is correct
The correct answer is B. (2). Here \(2^{2^{n(A)}}=16=2^4\), so \(2^{n(A)}=4\) and (n(A)=2). Apply the power set formula twice.
Exam Tip
यहां \(2^{2^{n(A)}}=16=2^4\), इसलिए \(2^{n(A)}=4\) और (n(A)=2)। घात समुच्चय पर घात समुच्चय में दो बार सूत्र लगाएं।
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