यदि (|U|=15) और (|\mathcal{P}(A)|=32), जहां \(A\subseteq U\), तो (|\mathcal{P}(A')|) कितना होगा?
If (|U|=15) and (|\mathcal{P}(A)|=32), where \(A\subseteq U\), what is (|\mathcal{P}(A')|)?
Explanation opens after your attempt
Correct Answer
B. \(2^{10}\)
Concept
(|\mathcal{P}(A)|=32=25), so (|A|=5) and (|A'|=10). Hence (|\mathcal{P}(A')|=2^{10}).
Why this answer is correct
The correct answer is B. \(2^{10}\). (|\mathcal{P}(A)|=32=25), so (|A|=5) and (|A'|=10). Hence (|\mathcal{P}(A')|=2^{10}).
Exam Tip
(|\mathcal{P}(A)|=32=25), इसलिए (|A|=5) और (|A'|=10)। अतः (|\mathcal{P}(A')|=2^{10})।
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