(9) पुरुषों और (8) महिलाओं में से (6) व्यक्ति चुनने हैं जिनमें कम से कम (3) महिलाएं हों। कितने तरीके हैं?
From (9) men and (8) women (6) persons are to be selected with at least (3) women. How many ways are there?
Explanation opens after your attempt
Correct Answer
D. (7756)
Concept
The number of women can be (3), (4), (5), or (6). The correct sum is \(\binom{8}{3}\binom{9}{3}+\binom{8}{4}\binom{9}{2}+\binom{8}{5}\binom{9}{1}+\binom{8}{6}=7756\).
Why this answer is correct
The correct answer is D. (7756). The number of women can be (3), (4), (5), or (6). The correct sum is \(\binom{8}{3}\binom{9}{3}+\binom{8}{4}\binom{9}{2}+\binom{8}{5}\binom{9}{1}+\binom{8}{6}=7756\).
Exam Tip
महिलाएं (3), (4), (5) या (6) हो सकती हैं। सही योग \(\binom{8}{3}\binom{9}{3}+\binom{8}{4}\binom{9}{2}+\binom{8}{5}\binom{9}{1}+\binom{8}{6}=7756\) है।
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