यदि \(A\subseteq U\), (n(U)=9), (n(A)=4), तो (P(A')) के उचित उपसमुच्चयों की संख्या क्या है?
If \(A\subseteq U\), (n(U)=9), and (n(A)=4), then what is the number of proper subsets of (P(A'))?
Explanation opens after your attempt
Correct Answer
C. (1023)
Concept
(n(A')=5), so (n(P(A'))=25=32). Proper subsets of (P(A')) are \(2^{32}-1\), so do not confuse elements with subsets.
Why this answer is correct
The correct answer is C. (1023). (n(A')=5), so (n(P(A'))=25=32). Proper subsets of (P(A')) are \(2^{32}-1\), so do not confuse elements with subsets.
Exam Tip
(n(A')=5), इसलिए (n(P(A'))=25=32)। इसके उचित उपसमुच्चय \(2^{32}-1\) नहीं बल्कि (P(A')) के उपसमुच्चय हैं, अतः \(2^{32}-1\) होगा।
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