(6) शिक्षकों और (8) छात्रों में से (5) लोगों का समूह बनाना है जिसमें कम से कम (2) शिक्षक हों। कितने तरीके हैं?
From (6) teachers and (8) students a group of (5) people is to be formed with at least (2) teachers. How many ways are there?
Explanation opens after your attempt
Correct Answer
B. (1554)
Concept
Total ways are \(\binom{14}{5}=2002\). Remove (0) teacher \(\binom{8}{5}=56\) and (1) teacher \(\binom{6}{1}\binom{8}{4}=420\). The answer is (1526).
Why this answer is correct
The correct answer is B. (1554). Total ways are \(\binom{14}{5}=2002\). Remove (0) teacher \(\binom{8}{5}=56\) and (1) teacher \(\binom{6}{1}\binom{8}{4}=420\). The answer is (1526).
Exam Tip
कुल \(\binom{14}{5}=2002\) हैं। (0) शिक्षक \(\binom{8}{5}=56\) और (1) शिक्षक \(\binom{6}{1}\binom{8}{4}=420\) हटाएं। उत्तर (1526) है।
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