In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?
There are 9 courses available out of which, 2 specific courses are compulsory for every student.
Therefore, every student has to choose 3 courses out of the remaining 7 courses.
This can be chosen in 7C3 ways.
Thus, the required number of ways of choosing the programme
⇒7C3=7!3!4!
=7×6×53×2×1
=35