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. $34$
• B. $36$
• C. $35$
• D. $37$

Answer 1

The correct option is C $35$

Total number of available courses $=9$

Out of these $5$ courses have to be chosen it is given that $2$ courses are compulsory for every student i.e., you have to choose on, courses instead of $5$, out of $7$ instead of $9$.

It can be done in ${}^7{C}_3$ ways $=\frac{7\times 6\times 5}{6}=35$ ways.