Question

A submarine sandwich shop makes sandwiches with one kind of bread, one protein, one choice of cheese, and two vegetables. How many different sandwiches are possible? Breads: Italian, white, wheat Proteins: Tuna, ham, turkey, beans Cheese: Provolone, Swiss, American, none Vegetables: Lettuce, tomatoes, peppers, onions, pickles

Answer 1

480 different sandwiches

Explanation:

To find how many sandwiches can be made, we need to find the number of possibilities for each choice: bread, protein, cheese, vegetables.

Bread: 3 types -> combination of 3 choose 1 -> 3

Protein: 4 types -> combination of 4 choose 1 -> 4

Cheese: 4 types -> combination of 4 choose 1 -> 4

Vegetables: 5 types -> combination of 5 choose 2 -> 5!/(3!*2!) = 5*4/2 = 10

So the number of different sandwiches is:

3 * 4 * 4 * 10 = 480