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

If \(A=\{1,2,3\}\) and \(B=\{3,4\}\), how many elements will (\mathcal{P}\(A\cup B\)) have?

Explanation opens after your attempt
Correct Answer

B. (16)

Step 1

Concept

\(A\cup B={1,2,3,4}\), so it has (4) elements. Therefore its power set has \(2^4=16\) elements.

Step 2

Why this answer is correct

The correct answer is B. (16). \(A\cup B={1,2,3,4}\), so it has (4) elements. Therefore its power set has \(2^4=16\) elements.

Step 3

Exam Tip

\(A\cup B={1,2,3,4}\), इसलिए इसमें (4) तत्व हैं। अतः उसके घात समुच्चय में \(2^4=16\) तत्व होंगे।

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Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: B. (16). Explanation: \(A\cup B={1,2,3,4}\), इसलिए इसमें (4) तत्व हैं। अतः उसके घात समुच्चय में \(2^4=16\) तत्व होंगे। / \(A\cup B={1,2,3,4}\), so it has (4) elements. Therefore its power set has \(2^4=16\) elements.

Which concept should I revise for this Mathematics MCQ?

\(A\cup B={1,2,3,4}\), so it has (4) elements. Therefore its power set has \(2^4=16\) elements.

What exam hint can help solve this Mathematics question?

\(A\cup B={1,2,3,4}\), इसलिए इसमें (4) तत्व हैं। अतः उसके घात समुच्चय में \(2^4=16\) तत्व होंगे।