You are very hungry and head to your local Subway to order a sandwich. You need to make the following choices:

-one of 6 inch or 12 inch

-one of whole wheat, garlic or white bread

- one of roast beef, ham, chicken, tuna or no meat

-up to 4 unique toppings taken from a list of 8

(a) How many different sandwiches could you order?

. (b) Just as you are about to eat your sandwich your roommates call you up and ask you to pick up two more sandwiches. How many combinations of 3 sandwiches could you come home with?

Question

You are very hungry and head to your local Subway to order a sandwich. You need to make the following choices:

-one of 6 inch or 12 inch

-one of whole wheat, garlic or white bread

- one of roast beef, ham, chicken, tuna or no meat

-up to 4 unique toppings taken from a list of 8

(a) How many different sandwiches could you order?

. (b) Just as you are about to eat your sandwich your roommates call you up and ask you to pick up two more sandwiches. How many combinations of 3 sandwiches could you come home with?

anonymous · Answer

multiply all the choices together
that is called the "fundamental counting principle"