Expert Mathematics Sets Class 11 Level 8

यदि \(A=\{1,2,3,4,5\}\) है, तो (1,2) को शामिल और (5) को बाहर रखने वाले उपसमुच्चयों की संख्या कितनी है?

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

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Correct Answer

B. (4)

Step 1

Concept

Elements (1,2) are fixed, (5) is forbidden, and (3,4) are optional. Hence the answer is \(2^2=4\).

Step 2

Why this answer is correct

The correct answer is B. (4). Elements (1,2) are fixed, (5) is forbidden, and (3,4) are optional. Hence the answer is \(2^2=4\).

Step 3

Exam Tip

(1,2) निश्चित हैं, (5) निषिद्ध है और (3,4) वैकल्पिक हैं। इसलिए \(2^2=4\) उत्तर है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\) है, तो (1,2) को शामिल और (5) को बाहर रखने वाले उपसमुच्चयों की संख्या कितनी है? / If \(A=\{1,2,3,4,5\}\), how many subsets contain (1,2) and exclude (5)?

Correct Answer: B. (4). Explanation: (1,2) निश्चित हैं, (5) निषिद्ध है और (3,4) वैकल्पिक हैं। इसलिए \(2^2=4\) उत्तर है। / Elements (1,2) are fixed, (5) is forbidden, and (3,4) are optional. Hence the answer is \(2^2=4\).

Which concept should I revise for this Mathematics MCQ?

Elements (1,2) are fixed, (5) is forbidden, and (3,4) are optional. Hence the answer is \(2^2=4\).

What exam hint can help solve this Mathematics question?

(1,2) निश्चित हैं, (5) निषिद्ध है और (3,4) वैकल्पिक हैं। इसलिए \(2^2=4\) उत्तर है।

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