यदि \(|A\cap B|=4\) है, तो \(|\mathcal{P}(A)\cap\mathcal{P}(B)|\) कितना होगा?
If \(|A\cap B|=4\), what is \(|\mathcal{P}(A)\cap\mathcal{P}(B)|\)?
Explanation opens after your attempt
Correct Answer
C. (16)
Concept
(\mathcal{P}(A)\cap\mathcal{P}(B)=\mathcal{P}\(A\cap B\)), so the number is \(2^4=16\). In exams, remember the identity for common subsets.
Why this answer is correct
The correct answer is C. (16). (\mathcal{P}(A)\cap\mathcal{P}(B)=\mathcal{P}\(A\cap B\)), so the number is \(2^4=16\). In exams, remember the identity for common subsets.
Exam Tip
(\mathcal{P}(A)\cap\mathcal{P}(B)=\mathcal{P}\(A\cap B\)), इसलिए संख्या \(2^4=16\) है। परीक्षा में common subsets की identity याद रखें।
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