(9) डॉक्टरों और (7) नर्सों में से (6) लोगों की टीम बनानी है जिसमें डॉक्टरों की संख्या नर्सों से अधिक हो। कितने तरीके हैं?
From (9) doctors and (7) nurses a team of (6) people is to be formed with more doctors than nurses. How many ways are there?
Explanation opens after your attempt
Correct Answer
C. (3612)
Concept
The number of doctors will be (4), (5), or (6). The total is \(\binom{9}{4}\binom{7}{2}+\binom{9}{5}\binom{7}{1}+\binom{9}{6}=3612\).
Why this answer is correct
The correct answer is C. (3612). The number of doctors will be (4), (5), or (6). The total is \(\binom{9}{4}\binom{7}{2}+\binom{9}{5}\binom{7}{1}+\binom{9}{6}=3612\).
Exam Tip
डॉक्टरों की संख्या (4), (5) या (6) होगी। कुल \(\binom{9}{4}\binom{7}{2}+\binom{9}{5}\binom{7}{1}+\binom{9}{6}=3612\) है।
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