यदि \(U={1,2,\ldots,40}\), \(A={x:x\in U,\ 2\mid x}\), \(B={x:x\in U,\ 3\mid x}\) और \(C={x:x\in U,\ 5\mid x}\) है, तो (n\(A\cup B\cup C\)) कितना है?
If \(U={1,2,\ldots,40}\), \(A={x:x\in U,\ 2\mid x}\), \(B={x:x\in U,\ 3\mid x}\), and \(C={x:x\in U,\ 5\mid x}\), then what is (n\(A\cup B\cup C\))?
Explanation opens after your attempt
Correct Answer
A. (30)
Concept
Using the three-set formula gives (20+13+8-6-4-2+1=30). In exams, subtract pairwise intersections and add the triple intersection.
Why this answer is correct
The correct answer is A. (30). Using the three-set formula gives (20+13+8-6-4-2+1=30). In exams, subtract pairwise intersections and add the triple intersection.
Exam Tip
तीन समुच्चयों के सूत्र से (20+13+8-6-4-2+1=30) मिलता है। परीक्षा में युग्म प्रतिच्छेद घटाकर त्रिक प्रतिच्छेद जोड़ें।
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