यदि \(A=\{2,3,4\}\) और \(B=\{5,6,7,8\}\), तो \(A\times B\) में (a+b) सम होने वाले युग्मों की संख्या कितनी है?
If \(A=\{2,3,4\}\) and \(B=\{5,6,7,8\}\), how many pairs in \(A\times B\) have (a+b) even?
Explanation opens after your attempt
Correct Answer
B. (6)
Concept
For an even sum, both numbers must have the same parity. (A) has (2) even and (1) odd elements, while (B) has (2) even and (2) odd elements, so \(2\cdot2+1\cdot2=6\).
Why this answer is correct
The correct answer is B. (6). For an even sum, both numbers must have the same parity. (A) has (2) even and (1) odd elements, while (B) has (2) even and (2) odd elements, so \(2\cdot2+1\cdot2=6\).
Exam Tip
सम योग के लिए दोनों संख्याएं समान समता की होनी चाहिए। (A) में (2) सम और (1) विषम हैं, (B) में (2) सम और (2) विषम हैं, इसलिए \(2\cdot2+1\cdot2=6\)।
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