Expert Mathematics Sets Class 11 Level 7

यदि \(A=\{1,2,3,4,5,6\}\) है तो (A) के कितने उपसमुच्चय केवल सम संख्याओं से बन सकते हैं?

If \(A=\{1,2,3,4,5,6\}\) then how many subsets of (A) can be formed using only even numbers?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

The even elements are (2,4,6), and all their subsets are \(2^3=8\). In exams "only" means all other elements are excluded.

Step 2

Why this answer is correct

The correct answer is C. (8). The even elements are (2,4,6), and all their subsets are \(2^3=8\). In exams "only" means all other elements are excluded.

Step 3

Exam Tip

सम तत्व (2,4,6) हैं और इनके सभी उपसमुच्चय \(2^3=8\) होंगे। परीक्षा में "केवल" का अर्थ है बाकी तत्वों को पूरी तरह हटाना।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6\}\) है तो (A) के कितने उपसमुच्चय केवल सम संख्याओं से बन सकते हैं? / If \(A=\{1,2,3,4,5,6\}\) then how many subsets of (A) can be formed using only even numbers?

Correct Answer: C. (8). Explanation: सम तत्व (2,4,6) हैं और इनके सभी उपसमुच्चय \(2^3=8\) होंगे। परीक्षा में "केवल" का अर्थ है बाकी तत्वों को पूरी तरह हटाना। / The even elements are (2,4,6), and all their subsets are \(2^3=8\). In exams "only" means all other elements are excluded.

Which concept should I revise for this Mathematics MCQ?

The even elements are (2,4,6), and all their subsets are \(2^3=8\). In exams "only" means all other elements are excluded.

What exam hint can help solve this Mathematics question?

सम तत्व (2,4,6) हैं और इनके सभी उपसमुच्चय \(2^3=8\) होंगे। परीक्षा में "केवल" का अर्थ है बाकी तत्वों को पूरी तरह हटाना।

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