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