(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?
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Correct Answer
D. (15235)
Simple Explanation
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। / The number of special students can be (3), (4), (5), or (6). The total is \(\binom{6}{3}\binom{11}{5}+\binom{6}{4}\binom{11}{4}+\binom{6}{5}\binom{11}{3}+\binom{6}{6}\binom{11}{2}=15235\).
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