यदि \(A=\{1,2,3,4\}\) और \(B=\{2,3,4,5\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (ab) सम है?
If \(A=\{1,2,3,4\}\) and \(B=\{2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) have (ab) even?
Explanation opens after your attempt
Correct Answer
C. (12)
Concept
There are (16) total pairs, and (ab) is odd only when both are odd, giving \(2\cdot2=4\). Hence even products are (16-4=12).
Why this answer is correct
The correct answer is C. (12). There are (16) total pairs, and (ab) is odd only when both are odd, giving \(2\cdot2=4\). Hence even products are (16-4=12).
Exam Tip
कुल (16) युग्म हैं और (ab) विषम केवल तब है जब दोनों विषम हों, ऐसे \(2\cdot2=4\) हैं। इसलिए सम गुणनफल (16-4=12) हैं।
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