यदि \(A=\{1,2,3,4,5,6\}\) है तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (1) न हो और (6) अवश्य हो?

If \(A=\{1,2,3,4,5,6\}\) then how many subsets do not contain (1) but must contain (6)?

Explanation opens after your attempt
Correct Answer

B. (16)

Step 1

Concept

(1) is excluded and (6) is fixed, while (2,3,4,5) are free. So \(2^4=16\) subsets are formed.

Step 2

Why this answer is correct

The correct answer is B. (16). (1) is excluded and (6) is fixed, while (2,3,4,5) are free. So \(2^4=16\) subsets are formed.

Step 3

Exam Tip

(1) हटेगा और (6) निश्चित होगा, बाकी (2,3,4,5) स्वतंत्र हैं। इसलिए \(2^4=16\) उपसमुच्चय बनते हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6\}\) है तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (1) न हो और (6) अवश्य हो? / If \(A=\{1,2,3,4,5,6\}\) then how many subsets do not contain (1) but must contain (6)?

Correct Answer: B. (16). Explanation: (1) हटेगा और (6) निश्चित होगा, बाकी (2,3,4,5) स्वतंत्र हैं। इसलिए \(2^4=16\) उपसमुच्चय बनते हैं। / (1) is excluded and (6) is fixed, while (2,3,4,5) are free. So \(2^4=16\) subsets are formed.

Which concept should I revise for this Mathematics MCQ?

(1) is excluded and (6) is fixed, while (2,3,4,5) are free. So \(2^4=16\) subsets are formed.

What exam hint can help solve this Mathematics question?

(1) हटेगा और (6) निश्चित होगा, बाकी (2,3,4,5) स्वतंत्र हैं। इसलिए \(2^4=16\) उपसमुच्चय बनते हैं।