यदि \(A=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में ऐसे subsets कितने हैं जिनमें (2) या (4) में से कम से कम एक हो?
If \(A=\{1,2,3,4,5,6\}\), how many subsets in (\mathcal{P}(A)) contain at least one of (2) or (4)?
Explanation opens after your attempt
Correct Answer
C. (48)
Concept
Total subsets are \(2^6=64\), and subsets containing neither (2) nor (4) are \(2^4=16\), so the answer is (48). In exams, use complement method for at least one.
Why this answer is correct
The correct answer is C. (48). Total subsets are \(2^6=64\), and subsets containing neither (2) nor (4) are \(2^4=16\), so the answer is (48). In exams, use complement method for at least one.
Exam Tip
कुल subsets \(2^6=64\) हैं और (2,4) दोनों न होने वाले subsets \(2^4=16\) हैं, इसलिए उत्तर (48) है। परीक्षा में at least one के लिए complement method तेज है।
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