यदि \(A=\{1,2,3\}\) और \(B=\{4,5,6\}\), तो \(A\times B\) में (a+b) विषम होने वाले युग्मों की संख्या कितनी है?
If \(A=\{1,2,3\}\) and \(B=\{4,5,6\}\), how many pairs in \(A\times B\) have (a+b) odd?
Explanation opens after your attempt
Correct Answer
C. (5)
Concept
The sum is odd when one number is odd and the other is even. (A) has (2) odd and (1) even elements, while (B) has (2) even and (1) odd elements, so \(2\cdot2+1\cdot1=5\).
Why this answer is correct
The correct answer is C. (5). The sum is odd when one number is odd and the other is even. (A) has (2) odd and (1) even elements, while (B) has (2) even and (1) odd elements, so \(2\cdot2+1\cdot1=5\).
Exam Tip
योग विषम तब होगा जब एक संख्या विषम और दूसरी सम हो। (A) में (2) विषम और (1) सम हैं, (B) में (2) सम और (1) विषम हैं, इसलिए \(2\cdot2+1\cdot1=5\)।
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