A college offer 7 courses in the morning and 5 in the evening. Find the possible number of choices with the student. If he wants to study one course in the morning and one in the evening.

Answer

To solve the problem of finding the total number of choices a student has when selecting one course in the morning and one in the evening, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Number of Courses:**
- The college offers **7 courses in the morning**.
- The college offers **5 courses in the evening**.

2. **Choosing a Course in the Morning:**
- The student can choose **1 course from the 7 morning courses**. This can be represented mathematically as \( 7C1 \), which is simply 7.

3. **Choosing a Course in the Evening:**
- The student can choose **1 course from the 5 evening courses**. This can be represented mathematically as \( 5C1 \), which is simply 5.

4. **Calculating Total Choices:**
- Since the student needs to choose one course from the morning and one from the evening, we multiply the number of choices:
\[ \text{Total Choices} = 7C1 \times 5C1 = 7 \times 5 \]

5. **Final Calculation:**
- Performing the multiplication gives:
\[ 7 \times 5 = 35 \]

Thus, the total number of choices the student has is **35**.