Question

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?

a. 252
b. 504
c. 756
d. 1008

Answer 1

To determine the number of ways a student can choose a program of 5 courses from a pool of 9 courses with 2 specific courses being compulsory, we use the combination formula to calculate the number of ways to choose the remaining non-compulsory courses.

Step-by-step explanation:

To determine the number of ways a student can choose a program of 5 courses with 9 courses available and 2 specific courses being compulsory, we need to calculate the combinations.

First, we subtract the 2 compulsory courses from the 5-course program, leaving us with 3 remaining courses to choose from the 7 non-compulsory courses. We use the combination formula to calculate the number of ways to choose the 3 courses from the 7:

C(7,3) = 7! / (3!(7-3)!) = 35

So, there are 35 ways for a student to choose a program of 5 courses.