Mark and Juanita own a sandwich shop. They offer 3 kinds of bread, 5 kinds of meat, and 3 kinds of cheese

Mark and Juanita own a sandwich shop. They offer 3 kinds of bread, 5 kinds of meat, and 3 kinds of cheese. Each type of sandwich has a combination of exactly 3 ingredients: 1 bread, 1 meat, and 1 cheese. How many types of sandwiches are possible?

  1. 11
  2. 15
  3. 30
  4. 45
  5. 120

Answer

The correct answer is D.

For each kind of bread, there are 5 kinds of meat, so that is 3 x 5 combinations of bread and meat. For each of these 15 combinations of bread and meat, there are 3 kinds of cheese. That makes 15 x 3 = 45 combinations of bread, meat, and cheese.