यदि \(A=\{1,2,3,4\}\) और \(B=\{1,2,3,4,5\}\) हैं, तो \(A\times B\) में कितने युग्म ((a,b)) ऐसे हैं जिनमें (b-a) विषम है?
If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4,5\}\), how many pairs ((a,b)) in \(A\times B\) have (b-a) odd?
Explanation opens after your attempt
C. (10)
Concept
The difference is odd when (a) and (b) have opposite parity. The count is \(2\cdot3+2\cdot2=10\).
Why this answer is correct
The correct answer is C. (10). The difference is odd when (a) and (b) have opposite parity. The count is \(2\cdot3+2\cdot2=10\).
Exam Tip
अंतर विषम तब होता है जब (a) और (b) की समता अलग हो। गिनती \(2\cdot3+2\cdot2=10\) है।
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