यदि (A) में (4) तत्व हैं और (B) में (5) तत्व हैं तथा \(A\subset B\), तो \(\mathcal{P}(B)\setminus\mathcal{P}(A)\) में कितने तत्व होंगे?
If (A) has (4) elements and (B) has (5) elements with \(A\subset B\), how many elements are in \(\mathcal{P}(B)\setminus\mathcal{P}(A)\)?
Explanation opens after your attempt
Correct Answer
B. (16)
Concept
(|\mathcal{P}(B)|=32) and (|\mathcal{P}(A)|=16). Since \(A\subset B\), the difference has (32-16=16) elements.
Why this answer is correct
The correct answer is B. (16). (|\mathcal{P}(B)|=32) and (|\mathcal{P}(A)|=16). Since \(A\subset B\), the difference has (32-16=16) elements.
Exam Tip
(|\mathcal{P}(B)|=32) और (|\mathcal{P}(A)|=16) है। क्योंकि \(A\subset B\), अंतर में (32-16=16) तत्व होंगे।
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