यदि \(U=\{1,2,3,4,5,6\}\), \(A=\{1,2,3\}\), और \(B=\{3,4,5\}\) है, तो (|\mathcal{P}(\(A\cap B\)')|) कितना है?

If \(U=\{1,2,3,4,5,6\}\), \(A=\{1,2,3\}\), and \(B=\{3,4,5\}\), what is (|\mathcal{P}(\(A\cap B\)')|)?

Explanation opens after your attempt
Correct Answer

B. (32)

Step 1

Concept

\(A\cap B={3}\), so the complement has (5) elements and the power set size is \(2^5=32\). In exams, take complement from the universal set.

Step 2

Why this answer is correct

The correct answer is B. (32). \(A\cap B={3}\), so the complement has (5) elements and the power set size is \(2^5=32\). In exams, take complement from the universal set.

Step 3

Exam Tip

\(A\cap B={3}\), इसलिए complement में (5) तत्व हैं और power set size \(2^5=32\) है। परीक्षा में complement सार्वत्रिक समुच्चय से लें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6\}\), \(A=\{1,2,3\}\), और \(B=\{3,4,5\}\) है, तो (|\mathcal{P}(\(A\cap B\)')|) कितना है? / If \(U=\{1,2,3,4,5,6\}\), \(A=\{1,2,3\}\), and \(B=\{3,4,5\}\), what is (|\mathcal{P}(\(A\cap B\)')|)?

Correct Answer: B. (32). Explanation: \(A\cap B={3}\), इसलिए complement में (5) तत्व हैं और power set size \(2^5=32\) है। परीक्षा में complement सार्वत्रिक समुच्चय से लें। / \(A\cap B={3}\), so the complement has (5) elements and the power set size is \(2^5=32\). In exams, take complement from the universal set.

Which concept should I revise for this Mathematics MCQ?

\(A\cap B={3}\), so the complement has (5) elements and the power set size is \(2^5=32\). In exams, take complement from the universal set.

What exam hint can help solve this Mathematics question?

\(A\cap B={3}\), इसलिए complement में (5) तत्व हैं और power set size \(2^5=32\) है। परीक्षा में complement सार्वत्रिक समुच्चय से लें।