यदि \(U=\{1,2,3,4,5,6,7\}\) और \(A=\{2,4,6\}\) है, तो (\mathcal{P}(U)) के कितने members (A') के subsets हैं?
If \(U=\{1,2,3,4,5,6,7\}\) and \(A=\{2,4,6\}\), how many members of (\mathcal{P}(U)) are subsets of (A')?
Explanation opens after your attempt
Correct Answer
B. (16)
Concept
(A'={1,3,5,7}) has (4) elements, so its subsets are \(2^4=16\). In exams, this is the cardinality of (\mathcal{P}(A')).
Why this answer is correct
The correct answer is B. (16). (A'={1,3,5,7}) has (4) elements, so its subsets are \(2^4=16\). In exams, this is the cardinality of (\mathcal{P}(A')).
Exam Tip
(A'={1,3,5,7}) में (4) तत्व हैं, इसलिए उसके subsets \(2^4=16\) हैं। परीक्षा में यह (\mathcal{P}(A')) की cardinality है।
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