यदि \(A=\{1,2,3\}\), तो (\mathcal{P}(A)) के कितने तत्व (1) को शामिल करते हैं?
If \(A=\{1,2,3\}\), how many elements of (\mathcal{P}(A)) contain (1)?
Explanation opens after your attempt
Correct Answer
C. (4)
Concept
Fix (1), and the remaining two elements may be chosen or not chosen in \(2^2=4\) ways. With a fixed element, the rest are independent.
Why this answer is correct
The correct answer is C. (4). Fix (1), and the remaining two elements may be chosen or not chosen in \(2^2=4\) ways. With a fixed element, the rest are independent.
Exam Tip
(1) को निश्चित रखकर शेष (2) तत्वों को चुनने या न चुनने के \(2^2=4\) तरीके हैं। निश्चित तत्व वाली गिनती में बाकी तत्व स्वतंत्र होते हैं।
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