यदि \(A=\{0,1,2,3\}\) है तो (A) के ऐसे उपसमुच्चयों की संख्या क्या है जिनमें (0) अवश्य हो?
If \(A=\{0,1,2,3\}\), how many subsets of (A) must contain (0)?
Explanation opens after your attempt
Correct Answer
C. (8)
Concept
Fixing (0), the remaining three elements are optional, so there are \(2^3=8\) subsets. For a fixed element, count choices for the remaining elements.
Why this answer is correct
The correct answer is C. (8). Fixing (0), the remaining three elements are optional, so there are \(2^3=8\) subsets. For a fixed element, count choices for the remaining elements.
Exam Tip
(0) को निश्चित रखने पर बाकी तीन अवयव स्वतंत्र हैं इसलिए \(2^3=8\) उपसमुच्चय मिलते हैं। निश्चित अवयव को चुनकर बाकी पर गिनती करें।
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