यदि \(A=\{1,2,3,4,5\}\), तो (\mathcal{P}(A)) के कितने तत्वों में (2) और (5) दोनों होंगे लेकिन (1) नहीं होगा?

If \(A=\{1,2,3,4,5\}\), how many elements of (\mathcal{P}(A)) contain both (2) and (5) but not (1)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

(2,5) are fixed and (1) is forbidden. The remaining (3,4) are free, so there are \(2^2=4\) subsets.

Step 2

Why this answer is correct

The correct answer is B. (4). (2,5) are fixed and (1) is forbidden. The remaining (3,4) are free, so there are \(2^2=4\) subsets.

Step 3

Exam Tip

(2,5) निश्चित हैं और (1) निषिद्ध है। शेष (3,4) स्वतंत्र हैं, इसलिए \(2^2=4\) उपसमुच्चय होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\), तो (\mathcal{P}(A)) के कितने तत्वों में (2) और (5) दोनों होंगे लेकिन (1) नहीं होगा? / If \(A=\{1,2,3,4,5\}\), how many elements of (\mathcal{P}(A)) contain both (2) and (5) but not (1)?

Correct Answer: B. (4). Explanation: (2,5) निश्चित हैं और (1) निषिद्ध है। शेष (3,4) स्वतंत्र हैं, इसलिए \(2^2=4\) उपसमुच्चय होंगे। / (2,5) are fixed and (1) is forbidden. The remaining (3,4) are free, so there are \(2^2=4\) subsets.

Which concept should I revise for this Mathematics MCQ?

(2,5) are fixed and (1) is forbidden. The remaining (3,4) are free, so there are \(2^2=4\) subsets.

What exam hint can help solve this Mathematics question?

(2,5) निश्चित हैं और (1) निषिद्ध है। शेष (3,4) स्वतंत्र हैं, इसलिए \(2^2=4\) उपसमुच्चय होंगे।