यदि \(A=\{1,2,3,4\}\) और \(U=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में ऐसे कितने सदस्य हैं जो (U) के उपसमुच्चय हैं?
If \(A=\{1,2,3,4\}\) and \(U=\{1,2,3,4,5,6\}\), how many members of (\mathcal{P}(A)) are subsets of (U)?
Explanation opens after your attempt
Correct Answer
C. (16)
Concept
Since \(A \subseteq U\), all \(2^4=16\) members of (\mathcal{P}(A)) are subsets of (U). In exams, first check whether \(A \subseteq U\).
Why this answer is correct
The correct answer is C. (16). Since \(A \subseteq U\), all \(2^4=16\) members of (\mathcal{P}(A)) are subsets of (U). In exams, first check whether \(A \subseteq U\).
Exam Tip
क्योंकि \(A \subseteq U\), इसलिए (\mathcal{P}(A)) के सभी \(2^4=16\) सदस्य (U) के उपसमुच्चय हैं। परीक्षा में पहले \(A \subseteq U\) जांचें।
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