यदि \(A=\{1,2,3,4\}\) और \(B=\{1,2,3,4,5,6,7,8\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें \(a\mid b\) पर \(b\mid a\) नहीं है?
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Correct Answer
C. (12)
Concept
There are (16) pairs with \(a\mid b\), and pairs where \(b\mid a\) also holds are ((1,1),(2,2),(3,3),(4,4)). Hence (16-4=12).
Why this answer is correct
The correct answer is C. (12). There are (16) pairs with \(a\mid b\), and pairs where \(b\mid a\) also holds are ((1,1),(2,2),(3,3),(4,4)). Hence (16-4=12).
Exam Tip
\(a\mid b\) वाले (16) युग्म हैं और \(b\mid a\) भी होने वाले ((1,1),(2,2),(3,3),(4,4)) हैं। इसलिए (16-4=12)।
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