यदि (|\mathcal{P}(A)|=32) और (|\mathcal{P}(B)|=8), तो (|\mathcal{P}\(A\times B\)|) क्या है?
If (|\mathcal{P}(A)|=32) and (|\mathcal{P}(B)|=8), what is (|\mathcal{P}\(A\times B\)|)?
Explanation opens after your attempt
Correct Answer
A. \(2^{15}\)
Concept
(|A|=5) and (|B|=3), so \(|A\times B|=15\). Therefore its power set has \(2^{15}\) elements.
Why this answer is correct
The correct answer is A. \(2^{15}\). (|A|=5) and (|B|=3), so \(|A\times B|=15\). Therefore its power set has \(2^{15}\) elements.
Exam Tip
(|A|=5) और (|B|=3), इसलिए \(|A\times B|=15\) है। अतः उसके घात समुच्चय में \(2^{15}\) तत्व होंगे।
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