Josie had a choice of 3 breads, 3 choices of meat, and 5 choices of cheeses to make a sandwich.

How many different sandwiches can she make?

The problem is a case that uses the fundamental principles of counting. The number of different ways that a sandwich can be made is the product obtained when the number of bread is multiplied by the numbers of choices of meat and the cheese. That would be 3 x 3 x 5 which is equal to 45.