यदि \(A\subseteq U\), (|A|=m), और (|U|=2m) है, तो (|\mathcal{P}(A)|=|\mathcal{P}(A')|) कब होगा?
If \(A\subseteq U\), (|A|=m), and (|U|=2m), when will (|\mathcal{P}(A)|=|\mathcal{P}(A')|)?
Explanation opens after your attempt
Correct Answer
A. हमेशाAlways
Concept
Since (|A'|=2m-m=m), both power sets have cardinality \(2^m\). In exams, first find the size of the complement.
Why this answer is correct
The correct answer is A. हमेशा / Always. Since (|A'|=2m-m=m), both power sets have cardinality \(2^m\). In exams, first find the size of the complement.
Exam Tip
क्योंकि (|A'|=2m-m=m), इसलिए दोनों power sets की cardinality \(2^m\) होगी। परीक्षा में complement की size पहले निकालें।
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