यदि \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), और \(B=\{2,3,5,8\}\) है, तो (|\mathcal{P}(\(A\cup B\)')|) कितना है?
If \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,3,5,7\}\), and \(B=\{2,3,5,8\}\), what is (|\mathcal{P}(\(A\cup B\)')|)?
Explanation opens after your attempt
B. (4)
Concept
\(A\cup B={1,2,3,5,7,8}\), so the complement is ({4,6}) and the power set size is \(2^2=4\). In exams, take union first and then complement.
Why this answer is correct
The correct answer is B. (4). \(A\cup B={1,2,3,5,7,8}\), so the complement is ({4,6}) and the power set size is \(2^2=4\). In exams, take union first and then complement.
Exam Tip
\(A\cup B={1,2,3,5,7,8}\), इसलिए complement ({4,6}) है और power set size \(2^2=4\)। परीक्षा में पहले union फिर complement लें।
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