यदि \(A=\{1,2,3,4\}\) और \(B=\{1,2,3\}\) हैं, तो \(A\times B\) में कितने युग्म ((x,y)) ऐसे हैं कि (x+y) सम है?
If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3\}\), how many pairs ((x,y)) in \(A\times B\) have (x+y) even?
Explanation opens after your attempt
Correct Answer
A. (6)
Concept
The sum is even when both components have the same parity. Here such pairs are \(2\times2+2\times1=6\).
Why this answer is correct
The correct answer is A. (6). The sum is even when both components have the same parity. Here such pairs are \(2\times2+2\times1=6\).
Exam Tip
योग सम तब होगा जब दोनों घटक समान सम-विषम प्रकृति के हों। यहां ऐसे \(2\times2+2\times1=6\) युग्म हैं।
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