यदि (|U|=10), (|A|=6), और (|B|=5), \(|A\cap B|=3\) है, तो (|\mathcal{P}(\(A\cup B\)')|) कितना है?
If (|U|=10), (|A|=6), (|B|=5), and \(|A\cap B|=3\), what is (|\mathcal{P}(\(A\cup B\)')|)?
Explanation opens after your attempt
B. (4)
Concept
\(|A\cup B|=6+5-3=8\), so the complement has (2) elements and the power set size is \(2^2=4\). In exams, use inclusion-exclusion.
Why this answer is correct
The correct answer is B. (4). \(|A\cup B|=6+5-3=8\), so the complement has (2) elements and the power set size is \(2^2=4\). In exams, use inclusion-exclusion.
Exam Tip
\(|A\cup B|=6+5-3=8\), इसलिए complement में (2) तत्व हैं और power set size \(2^2=4\) है। परीक्षा में inclusion-exclusion लगाएं।
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