यदि \(A=\{2,3,5,7\}\) है तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (2) हो पर (7) न हो?

If \(A=\{2,3,5,7\}\) then how many subsets contain (2) but do not contain (7)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

(2) is fixed and (7) is excluded, while (3,5) are free. Hence the number is \(2^2=4\).

Step 2

Why this answer is correct

The correct answer is B. (4). (2) is fixed and (7) is excluded, while (3,5) are free. Hence the number is \(2^2=4\).

Step 3

Exam Tip

(2) निश्चित है और (7) हटेगा, बाकी (3,5) स्वतंत्र हैं। इसलिए संख्या \(2^2=4\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{2,3,5,7\}\) है तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (2) हो पर (7) न हो? / If \(A=\{2,3,5,7\}\) then how many subsets contain (2) but do not contain (7)?

Correct Answer: B. (4). Explanation: (2) निश्चित है और (7) हटेगा, बाकी (3,5) स्वतंत्र हैं। इसलिए संख्या \(2^2=4\) है। / (2) is fixed and (7) is excluded, while (3,5) are free. Hence the number is \(2^2=4\).

Which concept should I revise for this Mathematics MCQ?

(2) is fixed and (7) is excluded, while (3,5) are free. Hence the number is \(2^2=4\).

What exam hint can help solve this Mathematics question?

(2) निश्चित है और (7) हटेगा, बाकी (3,5) स्वतंत्र हैं। इसलिए संख्या \(2^2=4\) है।