A college offers 6 courses in the morning and 4 in the evening. Find the number of ways a student can select exactly one course, either in the morning or in the evening.

Answer

To solve the problem of how many ways a student can select exactly one course, either in the morning or in the evening, we can follow these steps:

### Step 1: Identify the number of courses available
The college offers:
- 6 courses in the morning
- 4 courses in the evening

### Step 2: Determine the selection options
The student can choose:
- One course from the morning courses
- One course from the evening courses

### Step 3: Calculate the number of ways to select a course
Since the student can either choose from the morning or the evening, we can use the principle of addition (since it's an "or" situation).

- The number of ways to choose 1 course from the morning courses is given by \(6C1\), which is simply 6.
- The number of ways to choose 1 course from the evening courses is given by \(4C1\), which is simply 4.

### Step 4: Add the two results
Now, we add the two results together:
\[ 6C1 + 4C1 = 6 + 4 = 10 \]

### Conclusion
Thus, the total number of ways a student can select exactly one course, either in the morning or in the evening, is **10**.

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