यदि \(A=\{1,2,3\}\) और \(B=\{3,4\}\), तो (\mathcal{P}\(A\cap B\)) में कितने तत्व हैं?

If \(A=\{1,2,3\}\) and \(B=\{3,4\}\), how many elements are in (\mathcal{P}\(A\cap B\))?

Explanation opens after your attempt
Correct Answer

A. (2)

Step 1

Concept

\(A\cap B={3}\), which has (1) element. Hence its power set has \(2^1=2\) elements.

Step 2

Why this answer is correct

The correct answer is A. (2). \(A\cap B={3}\), which has (1) element. Hence its power set has \(2^1=2\) elements.

Step 3

Exam Tip

\(A\cap B={3}\) है, जिसमें (1) तत्व है। इसलिए इसके घात समुच्चय में \(2^1=2\) तत्व होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3\}\) और \(B=\{3,4\}\), तो (\mathcal{P}\(A\cap B\)) में कितने तत्व हैं? / If \(A=\{1,2,3\}\) and \(B=\{3,4\}\), how many elements are in (\mathcal{P}\(A\cap B\))?

Correct Answer: A. (2). Explanation: \(A\cap B={3}\) है, जिसमें (1) तत्व है। इसलिए इसके घात समुच्चय में \(2^1=2\) तत्व होंगे। / \(A\cap B={3}\), which has (1) element. Hence its power set has \(2^1=2\) elements.

Which concept should I revise for this Mathematics MCQ?

\(A\cap B={3}\), which has (1) element. Hence its power set has \(2^1=2\) elements.

What exam hint can help solve this Mathematics question?

\(A\cap B={3}\) है, जिसमें (1) तत्व है। इसलिए इसके घात समुच्चय में \(2^1=2\) तत्व होंगे।