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?

Given: 9 courses are available and 2 specific courses are compulsory for every student

Here 2 courses are compulsory out of 9 courses, so a student need to select 5—2=3 courses

∴ number of ways in which 3 ways can be selected from 9—2(compulsory courses) = 7 are ⁷C₃

∴ ⁷C₃ =

⇒ ⁷C₃ =

∴ Number of ways a student selects 5 courses from 9 courses where 2 specific courses are compulsory are: 35