From (14) students a team of (7) is to be formed in which (3) special students are either all included or all excluded. How many ways are there?(14) विद्यार्थियों में से (7) की टीम बनानी है जिसमें (3) विशेष विद्यार्थी या तो सभी शामिल हों या सभी बाहर हों। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (660)(660)
If all special students are included there are (\binom{11}{4}=330) ways and if all are excluded there are (\binom{11}{7}=330) ways. The total is (660).सभी विशेष शामिल हों तो (\binom{11}{4}=330) और सभी बाहर हों तो (\binom{11}{7}=330) तरीके हैं। कुल (660) है।
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