यदि \(U={1,2,\ldots,60}\), \(A={x:x\in U,;2\mid x}\) और \(B={x:x\in U,;3\mid x}\) हैं, तो \(|A\cup B|\) कितना है?
If \(U={1,2,\ldots,60}\), \(A={x:x\in U,;2\mid x}\) and \(B={x:x\in U,;3\mid x}\), what is \(|A\cup B|\)?
Explanation opens after your attempt
Correct Answer
A. (40)
Concept
Here \(|A\cup B|=30+20-10=40\) because (10) numbers are divisible by (6). In exams, apply inclusion-exclusion first.
Why this answer is correct
The correct answer is A. (40). Here \(|A\cup B|=30+20-10=40\) because (10) numbers are divisible by (6). In exams, apply inclusion-exclusion first.
Exam Tip
\(|A\cup B|=30+20-10=40\) क्योंकि (6) से विभाज्य (10) संख्याएँ हैं। परीक्षा में समावेशन-अपवर्जन सूत्र पहले लगाएँ।
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