A college offers 6 courses in the morning and 4 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 how many 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 **6 courses in the morning**.
- The college offers **4 courses in the evening**.

2. **Choosing a Course in the Morning**:
- The student can select **1 course from the 6 available morning courses**.
- The number of ways to choose 1 course from 6 is simply **6**.

3. **Choosing a Course in the Evening**:
- The student can select **1 course from the 4 available evening courses**.
- The number of ways to choose 1 course from 4 is **4**.

4. **Calculating Total Choices**:
- Since the choices for morning and evening courses are independent of each other, we multiply the number of choices for the morning by the number of choices for the evening.
- Therefore, the total number of choices is:
\[ \text{Total Choices} = \text{Choices in Morning} \times \text{Choices in Evening} = 6 \times 4 \]

5. **Final Calculation**:
- Performing the multiplication:
\[ 6 \times 4 = 24 \]

Thus, the total number of possible choices for the student is **24**.