यदि (n(\mathcal{P}(A))=32) है, तो (A) के उचित उपसमुच्चयों की संख्या कितनी होगी?
If (n(\mathcal{P}(A))=32), how many proper subsets does (A) have?
Explanation opens after your attempt
Correct Answer
C. (31)
Concept
From \(2^n=32\), we get (n=5), so total subsets are (32). A proper subset excludes (A) itself, so the number is (31).
Why this answer is correct
The correct answer is C. (31). From \(2^n=32\), we get (n=5), so total subsets are (32). A proper subset excludes (A) itself, so the number is (31).
Exam Tip
\(2^n=32\) से (n=5), इसलिए कुल उपसमुच्चय (32) हैं। उचित उपसमुच्चय में स्वयं (A) नहीं आता, इसलिए संख्या (31) होगी।
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