यदि (A) में (5) तत्व हैं, तो (A) के ऐसे उपसमुच्चयों की संख्या कितनी होगी जिनमें दो निश्चित तत्व न हों?

If (A) has (5) elements, how many subsets of (A) do not contain two fixed elements?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

After excluding two fixed elements, (3) elements remain. Their subsets are \(2^3=8\).

Step 2

Why this answer is correct

The correct answer is B. (8). After excluding two fixed elements, (3) elements remain. Their subsets are \(2^3=8\).

Step 3

Exam Tip

दो निश्चित तत्व हटाने पर (3) तत्व बचते हैं। इनके उपसमुच्चय \(2^3=8\) होंगे।

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Mathematics Answer, Explanation and Revision Hints

यदि (A) में (5) तत्व हैं, तो (A) के ऐसे उपसमुच्चयों की संख्या कितनी होगी जिनमें दो निश्चित तत्व न हों? / If (A) has (5) elements, how many subsets of (A) do not contain two fixed elements?

Correct Answer: B. (8). Explanation: दो निश्चित तत्व हटाने पर (3) तत्व बचते हैं। इनके उपसमुच्चय \(2^3=8\) होंगे। / After excluding two fixed elements, (3) elements remain. Their subsets are \(2^3=8\).

Which concept should I revise for this Mathematics MCQ?

After excluding two fixed elements, (3) elements remain. Their subsets are \(2^3=8\).

What exam hint can help solve this Mathematics question?

दो निश्चित तत्व हटाने पर (3) तत्व बचते हैं। इनके उपसमुच्चय \(2^3=8\) होंगे।