A customer at a fast food restaurant can order a hamburger w

A customer at a fast -food restaurant can order a hamburger with or without mustard, ketchup, pickle, or onion; a fish sandwich with or without lettuce, tomato, or tartar sauce; and a choice of 3 kinds of soft drinks or 2kinds of milk shakes. How many different orders are possible if a customer can order at most 1 hamburger, 1 fish sandwich, and 1 beverage but can order less?

Solution

1 Hamburger can be : with hamburger with or without mustard and with ketchup and with pickle and onion

There are 5 factors involved in Hamburger hence there will be 2^5 possibilites

1 fish sandwich can be with or without lettuce,tomato and tartar sauce So here there are three factors involved in order.. Hence there can be 2^3 possibilities

1 beverage can be 3 kinds of soft drinks and 2 kinds of milkshakes hence there are 5 different options available for order Hence there can be 2^5 possibilites

Total possible orders possible are 2^5+2^3+2^5

=32+8+32

=72