Answer : Since a committee is to be formed of 2 teachers and 3 students
- When a particular teacher is included
No. of ways in which committee can be formed = 9C1 20C3
= 9720 ways
- A particular student is included
Since a particular student is always selected so ways of selecting 2 teachers and 2 students from 10 and 19 respect. is = 10C2 19C2 ways
= 7695 ways
- A particular student is excluded
Since 1 particular student is excluded so, ways of selecting 2 teachers and 3 students from 10 and 19 respt. is = 10C2 19C3 ways
= 43605 ways