(9) वरिष्ठ और (11) कनिष्ठ कर्मचारियों में से (7) लोगों की समिति बनानी है जिसमें वरिष्ठों की संख्या कनिष्ठों से कम हो। कितने तरीके हैं?
From (9) senior and (11) junior employees a committee of (7) is to be formed with fewer seniors than juniors. How many ways are there?
Explanation opens after your attempt
B. (48840)
Concept
The number of seniors can be (0), (1), (2), or (3). The total is \(\binom{9}{0}\binom{11}{7}+\binom{9}{1}\binom{11}{6}+\binom{9}{2}\binom{11}{5}+\binom{9}{3}\binom{11}{4}=48840\).
Why this answer is correct
The correct answer is B. (48840). The number of seniors can be (0), (1), (2), or (3). The total is \(\binom{9}{0}\binom{11}{7}+\binom{9}{1}\binom{11}{6}+\binom{9}{2}\binom{11}{5}+\binom{9}{3}\binom{11}{4}=48840\).
Exam Tip
वरिष्ठों की संख्या (0), (1), (2) या (3) हो सकती है। कुल \(\binom{9}{0}\binom{11}{7}+\binom{9}{1}\binom{11}{6}+\binom{9}{2}\binom{11}{5}+\binom{9}{3}\binom{11}{4}=48840\) है।
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