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From (10) science and (6) arts students (6) students are to be selected such that the number of science students is exactly (2) more than the number of arts students. How many ways are there?(10) विज्ञान और (6) कला विद्यार्थियों में से (6) विद्यार्थी चुनने हैं जिनमें विज्ञान विद्यार्थियों की संख्या कला विद्यार्थियों की संख्या से ठीक (2) अधिक हो। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (3150)(3150)
If science students are (x) and arts students are (y), then (x+y=6) and (x=y+2), so (x=4), (y=2). The ways are (\binom{10}{4}\binom{6}{2}=3150).यदि विज्ञान (x) और कला (y) हों तो (x+y=6) और (x=y+2), इसलिए (x=4), (y=2)। तरीके (\binom{10}{4}\binom{6}{2}=3150) हैं।
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