In how many ways, can a student choose a program of 5 courses, if 9 courses are available and 2 specific courses are compulsory for every student?

Step-by-step solution

Total number of available courses =9 Out of these 5 courses have to be chosen. But it is given that 2 courses are compulsory for every student i.e., you have to choose only 3 courses instead of 5 , out of 7 instead of 9 . It can be done in ^7 C₃ ways = 7 6 5 6 =35 ways.