(8) पुरुषों और (7) महिलाओं में से (6) सदस्यों की समिति बनानी है। समिति में महिलाओं की संख्या अधिकतम (3) होनी चाहिए। कुल कितनी समितियाँ बनेंगी?
From (8) men and (7) women, a committee of (6) members is to be formed. The committee must have at most (3) women. How many committees are possible?
Explanation opens after your attempt
Correct Answer
A. (3850)
Concept
Subtract the cases with (4,5,6) women from total \(\binom{15}{6}\). For at most conditions, complement counting is often simpler.
Why this answer is correct
The correct answer is A. (3850). Subtract the cases with (4,5,6) women from total \(\binom{15}{6}\). For at most conditions, complement counting is often simpler.
Exam Tip
कुल \(\binom{15}{6}\) समितियों से (4,5,6) महिलाओं वाले मामले घटाएँ। अधिकतम वाली शर्त में पूरक गिनती आसान होती है।
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