यदि \(A\subseteq U\), (|U|=18), और (|\mathcal{P}(A')|=1024) है, तो (|\mathcal{P}(A)|) कितना है?
If \(A\subseteq U\), (|U|=18), and (|\mathcal{P}(A')|=1024), what is (|\mathcal{P}(A)|)?
Explanation opens after your attempt
Correct Answer
B. \(2^8\)
Concept
(|\mathcal{P}(A')|=1024=2^{10}), so (|A'|=10) and (|A|=8). Hence (|\mathcal{P}(A)|=28).
Why this answer is correct
The correct answer is B. \(2^8\). (|\mathcal{P}(A')|=1024=2^{10}), so (|A'|=10) and (|A|=8). Hence (|\mathcal{P}(A)|=28).
Exam Tip
(|\mathcal{P}(A')|=1024=2^{10}), इसलिए (|A'|=10) और (|A|=8)। अतः (|\mathcal{P}(A)|=28)।
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