\(यदि (U={1,2,\ldots,36}), (A={x:x\) 2 से विभाज्य है\(}) और (B={x:x\) 3 से विभाज्य है\(}), तो (|(A'\cap B')|) कितना है\)?
\(If (U={1,2,\ldots,36}), (A={x:x\) is divisible by \(2}) and (B={x:x\) is divisible by \(3}), what is (|(A'\cap B')|)\)?
Explanation opens after your attempt
Correct Answer
C. (12)
Concept
(A'\cap B'=\(A\cup B\)'). Since \(|A\cup B|=18+12-6=24\), the complement has (36-24=12) elements.
Why this answer is correct
The correct answer is C. (12). (A'\cap B'=\(A\cup B\)'). Since \(|A\cup B|=18+12-6=24\), the complement has (36-24=12) elements.
Exam Tip
(A'\cap B'=\(A\cup B\)') होता है। \(|A\cup B|=18+12-6=24\), इसलिए पूरक में (36-24=12) अवयव हैं।
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