यदि \(A\subseteq B\), (|A|=3), और (|B|=6) है, तो (|\mathcal{P}(B)-\mathcal{P}(A)|) कितना है?
If \(A\subseteq B\), (|A|=3), and (|B|=6), what is (|\mathcal{P}(B)-\mathcal{P}(A)|)?
Explanation opens after your attempt
C. (56)
Concept
Since \(\mathcal{P}(A)\subseteq\mathcal{P}(B)\), the difference is \(2^6-2^3=64-8=56\). In exams, subtract directly for nested power sets.
Why this answer is correct
The correct answer is C. (56). Since \(\mathcal{P}(A)\subseteq\mathcal{P}(B)\), the difference is \(2^6-2^3=64-8=56\). In exams, subtract directly for nested power sets.
Exam Tip
क्योंकि \(\mathcal{P}(A)\subseteq\mathcal{P}(B)\), इसलिए अंतर \(2^6-2^3=64-8=56\) है। परीक्षा में nested power sets में सीधे घटाएं।
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