यदि \(A=\{1,2,3,4,5\}\) है, तो (A) के ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (1) या (2) में से कोई भी न हो?

If \(A=\{1,2,3,4,5\}\), how many subsets of (A) contain neither (1) nor (2)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

After excluding (1) and (2), the elements (3,4,5) remain. Their subsets are \(2^3=8\).

Step 2

Why this answer is correct

The correct answer is B. (8). After excluding (1) and (2), the elements (3,4,5) remain. Their subsets are \(2^3=8\).

Step 3

Exam Tip

(1) और (2) को हटाने के बाद (3,4,5) बचते हैं। इनके \(2^3=8\) उपसमुच्चय होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\) है, तो (A) के ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (1) या (2) में से कोई भी न हो? / If \(A=\{1,2,3,4,5\}\), how many subsets of (A) contain neither (1) nor (2)?

Correct Answer: B. (8). Explanation: (1) और (2) को हटाने के बाद (3,4,5) बचते हैं। इनके \(2^3=8\) उपसमुच्चय होंगे। / After excluding (1) and (2), the elements (3,4,5) remain. Their subsets are \(2^3=8\).

Which concept should I revise for this Mathematics MCQ?

After excluding (1) and (2), the elements (3,4,5) remain. Their subsets are \(2^3=8\).

What exam hint can help solve this Mathematics question?

(1) और (2) को हटाने के बाद (3,4,5) बचते हैं। इनके \(2^3=8\) उपसमुच्चय होंगे।