(16) छात्रों में से (7) छात्रों का चयन करना है। (5) विशेष छात्रों में से कम से कम (2) शामिल हों। कितने तरीके हैं?
From (16) students (7) students are to be selected. At least (2) of (5) special students must be included. How many ways are there?
Explanation opens after your attempt
C. (8800)
Concept
Total ways are \(\binom{16}{7}=11440\). Removing selections with (0) and (1) special student gives \(11440-\binom{11}{7}-\binom{5}{1}\binom{11}{6}=8800\).
Why this answer is correct
The correct answer is C. (8800). Total ways are \(\binom{16}{7}=11440\). Removing selections with (0) and (1) special student gives \(11440-\binom{11}{7}-\binom{5}{1}\binom{11}{6}=8800\).
Exam Tip
कुल \(\binom{16}{7}=11440\) हैं। (0) और (1) विशेष वाले चयन हटाने पर \(11440-\binom{11}{7}-\binom{5}{1}\binom{11}{6}=8800\) है।
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