To find the total number of outcomes for randomly choosing a vehicle from the car dealership, you simply add the number of each type of vehicle together.
- Sports cars: 12
- Sport utility vehicles: 6
- Luxury cars: 7
Now, add them:
\( 12 + 6 + 7 = 25 \)
So, there are a total of 25 outcomes for randomly choosing a vehicle.
The correct answer is 25.