(9) अंकों \(1,2,\ldots,9\) में से (4) अंक चुनने हैं जिनका योग सम हो। कितने चयन हैं?
Choose (4) digits from \(1,2,\ldots,9\) such that their sum is even. How many selections are there?
Explanation opens after your attempt
Correct Answer
C. (64)
Concept
For an even sum, the number of odd digits must be (0,2,4). Count \(^{4}C_{4}+^{5}C_{2}{}^{4}C_{2}+^{5}C_{4}=66\).
Why this answer is correct
The correct answer is C. (64). For an even sum, the number of odd digits must be (0,2,4). Count \(^{4}C_{4}+^{5}C_{2}{}^{4}C_{2}+^{5}C_{4}=66\).
Exam Tip
सम योग के लिए विषम अंकों की संख्या (0,2,4) होनी चाहिए। गणना \(^{4}C_{4}+^{5}C_{2}{}^{4}C_{2}+^{5}C_{4}=66\) है।
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