(17) छात्रों में से (8) छात्रों का चयन करना है। (6) विशेष छात्रों में से कम से कम (3) शामिल हों। कितने तरीके हैं?
From (17) students (8) students are to be selected. At least (3) of (6) special students must be included. How many ways are there?
Explanation opens after your attempt
D. (15235)
Concept
The number of special students can be (3), (4), (5), or (6). The total is \(\binom{6}{3}\binom{11}{5}+\binom{6}{4}\binom{11}{4}+\binom{6}{5}\binom{11}{3}+\binom{6}{6}\binom{11}{2}=15235\).
Why this answer is correct
The correct answer is D. (15235). The number of special students can be (3), (4), (5), or (6). The total is \(\binom{6}{3}\binom{11}{5}+\binom{6}{4}\binom{11}{4}+\binom{6}{5}\binom{11}{3}+\binom{6}{6}\binom{11}{2}=15235\).
Exam Tip
विशेष छात्र (3), (4), (5) या (6) हो सकते हैं। कुल \(\binom{6}{3}\binom{11}{5}+\binom{6}{4}\binom{11}{4}+\binom{6}{5}\binom{11}{3}+\binom{6}{6}\binom{11}{2}=15235\) है।
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