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From (8) senior and (10) junior employees a committee of (6) is to be formed with fewer seniors than juniors. How many ways are there?(8) वरिष्ठ और (10) कनिष्ठ कर्मचारियों में से (6) लोगों की समिति बनानी है जिसमें वरिष्ठों की संख्या कनिष्ठों से कम हो। कितने तरीके हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (8106)(8106)
The number of seniors can be (0), (1), or (2). The total is (\binom{8}{0}\binom{10}{6}+\binom{8}{1}\binom{10}{5}+\binom{8}{2}\binom{10}{4}=8106).वरिष्ठों की संख्या (0), (1) या (2) हो सकती है। कुल (\binom{8}{0}\binom{10}{6}+\binom{8}{1}\binom{10}{5}+\binom{8}{2}\binom{10}{4}=8106) है।
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