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?
If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4,5,6,7,8\}\), how many pairs ((a,b)) in \(A\times B\) satisfy \(a\mid b\) but not \(b\mid a\)?
Explanation opens after your attempt
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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