यदि \(U=\{1,2,3,4,5,6,7,8,9\}\), \(A=\{1,2,3,4,5\}\), और \(B=\{4,5,6,7\}\) है, तो \(\mathcal{P}(A'\cup B')\) कितना है?
If \(U=\{1,2,3,4,5,6,7,8,9\}\), \(A=\{1,2,3,4,5\}\), and \(B=\{4,5,6,7\}\), what is \(\mathcal{P}(A'\cup B')\)?
Explanation opens after your attempt
Correct Answer
D. (128)
Concept
(A'\cup B'=\(A\cap B\)') and \(A\cap B={4,5}\). The complement has (7) elements, so \(2^7=128\).
Why this answer is correct
The correct answer is D. (128). (A'\cup B'=\(A\cap B\)') and \(A\cap B={4,5}\). The complement has (7) elements, so \(2^7=128\).
Exam Tip
(A'\cup B'=\(A\cap B\)') और \(A\cap B={4,5}\) है। complement में (7) तत्व हैं, इसलिए \(2^7=128\)।
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