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
Correct Answer

C. (56)

Step 1

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.

Step 2

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.

Step 3

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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Mathematics Answer, Explanation and Revision Hints

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)|)?

Correct Answer: C. (56). Explanation: 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। / 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.

Which concept should I revise for this Mathematics MCQ?

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.

What exam hint can help solve this Mathematics question?

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।