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From (6) teachers and (8) students a group of (5) people is to be formed with at least (2) teachers. How many ways are there?(6) शिक्षकों और (8) छात्रों में से (5) लोगों का समूह बनाना है जिसमें कम से कम (2) शिक्षक हों। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1554)(1554)
Total ways are (\binom{14}{5}=2002). Remove (0) teacher (\binom{8}{5}=56) and (1) teacher (\binom{6}{1}\binom{8}{4}=420). The answer is (1526).कुल (\binom{14}{5}=2002) हैं। (0) शिक्षक (\binom{8}{5}=56) और (1) शिक्षक (\binom{6}{1}\binom{8}{4}=420) हटाएं। उत्तर (1526) है।
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