यदि \(A=\{1,2,3,4,5,6\}\) है, तो (A) के ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (2) और (5) दोनों हों?

If \(A=\{1,2,3,4,5,6\}\), how many subsets of (A) contain both (2) and (5)?

Explanation opens after your attempt
Correct Answer

B. (16)

Step 1

Concept

Keeping (2) and (5) is fixed, and the remaining (4) elements are free. Therefore the number of subsets is \(2^4=16\).

Step 2

Why this answer is correct

The correct answer is B. (16). Keeping (2) and (5) is fixed, and the remaining (4) elements are free. Therefore the number of subsets is \(2^4=16\).

Step 3

Exam Tip

(2) और (5) को रखना निश्चित है, बाकी (4) तत्व स्वतंत्र हैं। इसलिए उपसमुच्चय \(2^4=16\) होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6\}\) है, तो (A) के ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (2) और (5) दोनों हों? / If \(A=\{1,2,3,4,5,6\}\), how many subsets of (A) contain both (2) and (5)?

Correct Answer: B. (16). Explanation: (2) और (5) को रखना निश्चित है, बाकी (4) तत्व स्वतंत्र हैं। इसलिए उपसमुच्चय \(2^4=16\) होंगे। / Keeping (2) and (5) is fixed, and the remaining (4) elements are free. Therefore the number of subsets is \(2^4=16\).

Which concept should I revise for this Mathematics MCQ?

Keeping (2) and (5) is fixed, and the remaining (4) elements are free. Therefore the number of subsets is \(2^4=16\).

What exam hint can help solve this Mathematics question?

(2) और (5) को रखना निश्चित है, बाकी (4) तत्व स्वतंत्र हैं। इसलिए उपसमुच्चय \(2^4=16\) होंगे।