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From (17) students (8) students are to be selected. At least (3) of (6) special students must be included. How many ways are there?(17) छात्रों में से (8) छात्रों का चयन करना है। (6) विशेष छात्रों में से कम से कम (3) शामिल हों। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (15235)(15235)
The number of special students can be (3), (4), (5), or (6). The total is (\binom{6}{3}\binom{11}{5}+\binom{6}{4}\binom{11}{4}+\binom{6}{5}\binom{11}{3}+\binom{6}{6}\binom{11}{2}=15235).विशेष छात्र (3), (4), (5) या (6) हो सकते हैं। कुल (\binom{6}{3}\binom{11}{5}+\binom{6}{4}\binom{11}{4}+\binom{6}{5}\binom{11}{3}+\binom{6}{6}\binom{11}{2}=15235) है।
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