(6) लड़कों और (4) लड़कियों में से कुल (4) विद्यार्थी चुनने हैं जिनमें कम से कम (2) लड़कियां हों। कितने तरीके हैं?
From (6) boys and (4) girls, (4) students are to be selected with at least (2) girls. How many ways are there?
Explanation opens after your attempt
Correct Answer
C. (105)
Concept
The cases are (2), (3), or (4) girls. The correct count is \(\binom{4}{2}\binom{6}{2}+\binom{4}{3}\binom{6}{1}+\binom{4}{4}=115\).
Why this answer is correct
The correct answer is C. (105). The cases are (2), (3), or (4) girls. The correct count is \(\binom{4}{2}\binom{6}{2}+\binom{4}{3}\binom{6}{1}+\binom{4}{4}=115\).
Exam Tip
मामले हैं (2) लड़कियां, (3) लड़कियां या (4) लड़कियां। कुल \(\binom{4}{2}\binom{6}{2}+\binom{4}{3}\binom{6}{1}+\binom{4}{4}=115\) नहीं, सही गणना (90+24+1=115) है।
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