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?

Explanation

every student has to choose `3` courses out of the remaining ` 7 ` courses.


This can be chosen in `7_(C_3)` ways.


Thus, the required number of ways of choosing the programme
`=>7_(C_3)=(7!)/(3!xx4!)`

`=> (7xx6xx5)/(3xx2)`

`=>35`