यदि \(A=\{1,2,3,4\}\), तो (\mathcal{P}(A)) में ऐसे उपसमुच्चय कितने हैं जिनमें (1) है पर (4) नहीं है?
If \(A=\{1,2,3,4\}\), how many subsets in (\mathcal{P}(A)) contain (1) but not (4)?
Explanation opens after your attempt
Correct Answer
A. (4)
Concept
(1) is fixed and (4) is excluded, so (2,3) are free. Thus there are \(2^2=4\) subsets.
Why this answer is correct
The correct answer is A. (4). (1) is fixed and (4) is excluded, so (2,3) are free. Thus there are \(2^2=4\) subsets.
Exam Tip
(1) निश्चित है और (4) बाहर है, इसलिए (2,3) स्वतंत्र हैं। कुल \(2^2=4\) उपसमुच्चय होंगे।
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