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From (13) students (6) students are to be selected. At least (1) of (5) special students must be included. How many ways are there?(13) छात्रों में से (6) छात्रों का चयन करना है। (5) विशेष छात्रों में से कम से कम (1) शामिल हो। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (3003)(3003)
Total ways are (\binom{13}{6}=1716) and ways with no special student are (\binom{8}{6}=28). Hence (1716-28=1688) ways.कुल (\binom{13}{6}=1716) हैं और कोई विशेष न हो तो (\binom{8}{6}=28) हैं। इसलिए (1716-28=1688) तरीके हैं।
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