Question

A college offers $7$ courses in the morning and $5$ courses in the evening. Find the number of ways a student can select exactly one course either in the morning or in the evening.

• A. $35$
• B. $12$
• C. $40$
• D. $30$

Answer 1

The correct option is B $12$

$7$ Courses in morning

$5$ courses in evening

Total number of courses $=12$

Selecting any one of the course

Number of ways ${}^{12}{C}_1$

$=\frac{12!}{1!\times 1!}$

$=12$ Ways

Therefore total ways $=12$