Final answer:
There are 12 different sandwiches that can be made.
Step-by-step explanation:
To find the number of different sandwiches that can be made, we multiply the number of choices for each component. There are 3 types of meat, 2 types of bread, and 2 types of cheese. So the total number of different sandwiches is 3 * 2 * 2 = 12.