समुच्चय \(A=\{1,2,3,4\}\) पर (R={(a,b):\(a+b\equiv 0 \pmod{2}\)}) है। (R) में कितने युग्म होंगे?
On \(A=\{1,2,3,4\}\), (R={(a,b):\(a+b\equiv 0 \pmod{2}\)}). How many ordered pairs are in (R)?
Explanation opens after your attempt
Correct Answer
A. (8)
Concept
For an even sum, both numbers must have the same parity. With (2) odd and (2) even elements, the count is \(2^2+2^2=8\).
Why this answer is correct
The correct answer is A. (8). For an even sum, both numbers must have the same parity. With (2) odd and (2) even elements, the count is \(2^2+2^2=8\).
Exam Tip
योग सम होने के लिए दोनों संख्याएं समान सम-विषम प्रकृति की होंगी। (2) विषम और (2) सम अवयवों से \(2^2+2^2=8\) युग्म मिलते हैं।
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