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Choose (4) digits from (1,2,\ldots,9) such that their sum is even. How many selections are there?(9) अंकों (1,2,\ldots,9) में से (4) अंक चुनने हैं जिनका योग सम हो। कितने चयन हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (64)(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).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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