यदि \(A=\{1,2,3,4\}\) है तो (A) के ऐसे उपसमुच्चयों की संख्या क्या है जिनमें (1) हो और (4) न हो?
If \(A=\{1,2,3,4\}\), how many subsets of (A) contain (1) and do not contain (4)?
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Correct Answer
B. (4)
Concept
(1) is fixed and (4) is forbidden, so (2,3) are free. Hence \(2^2=4\) subsets are possible.
Why this answer is correct
The correct answer is B. (4). (1) is fixed and (4) is forbidden, so (2,3) are free. Hence \(2^2=4\) subsets are possible.
Exam Tip
(1) निश्चित और (4) निषिद्ध है इसलिए (2,3) स्वतंत्र हैं। अतः \(2^2=4\) उपसमुच्चय बनते हैं।
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