Question

A college offers $7$ courses in the morning and $5$ in the evening. Find possible number of choices with the student who want to study one course in the morning and one in the evening.

• A. $35$
• B. $12$
• C. $49$
• D. $25$

Answer 1

Answer: (A)

$35$

Number of courses in the morning $=7$

Selecting one of the $7{=}^7{C}_1$ Ways $=7$ ways

Number of courses in the evening $=5$

Selecting one of the $5{=}^5{C}_1$ Ways$=5$ ways

Total number of ways$=7\times 5$ Ways $=35$ Ways