यदि (|\mathcal{P}(\mathcal{P}(A))|=256) है, तो (|A|) कितना है?
If (|\mathcal{P}(\mathcal{P}(A))|=256), what is (|A|)?
Explanation opens after your attempt
Correct Answer
B. (3)
Concept
If (|A|=n), then (|\mathcal{P}(\mathcal{P}(A))|=2^{2^n}). Since \(256=2^8=2^{2^3}\), (n=3).
Why this answer is correct
The correct answer is B. (3). If (|A|=n), then (|\mathcal{P}(\mathcal{P}(A))|=2^{2^n}). Since \(256=2^8=2^{2^3}\), (n=3).
Exam Tip
यदि (|A|=n), तो (|\mathcal{P}(\mathcal{P}(A))|=2^{2^n})। \(256=2^8=2^{2^3}\), इसलिए (n=3)।
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