| In how many ways can a student chose 5 courses out of 9 courses if 2 specific courses are compulsory for every student?

A. 35

B. 48

C. 64

D. 54

### Right Answer is: A

#### SOLUTION

Since every student needs to choose 5 courses out of which 2 are compulsory. So, the student needs to choose 3 subjects out of 7.

No. of ways for choosing 3 subjects out of 7 is ^{7}C_{3}

Applying formula, ^{n}C_{r} = , we get

= 35 ways.