यदि \(A\subseteq U\), (|U|=9), और (|A'|=4) है, तो (\mathcal{P}(A)) में कितने proper subsets होंगे?
If \(A\subseteq U\), (|U|=9), and (|A'|=4), how many proper subsets are there in (\mathcal{P}(A))?
Explanation opens after your attempt
Correct Answer
B. (31)
Concept
(|A|=9-4=5), so proper subsets of (A) are \(2^5-1=31\). In exams, exclude the whole set for proper subsets.
Why this answer is correct
The correct answer is B. (31). (|A|=9-4=5), so proper subsets of (A) are \(2^5-1=31\). In exams, exclude the whole set for proper subsets.
Exam Tip
(|A|=9-4=5), इसलिए (A) के proper subsets \(2^5-1=31\) हैं। परीक्षा में proper subset के लिए पूरा set हटाएं।
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