Asandwich shop offers 2 types of bread, 4 types of meat, and 3 types of cheese. how many different types of sandwiches can be made using 1 type of bread, 1 type of meat, and 1 type of cheese?

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A sandwich shop offers:

Bread: 1 , 2

Meat: 1 , 2 , 3 , 4

Cheese: 1 , 2 , 3

Choose one to be your starting point. For example, choose Bread. You only choose one of each, so:

Bread 1, Meat 1, Cheese 1

Bread 1, Meat 1, Cheese 2

Bread 1, Meat 1, Cheese 3

etc. etc.

However, note that there is an easier way to solve it. In this case, you can use the Fundamental Principle of Counting, which each total number of choices are added together.

Multiply them:

Bread x Meat x Cheese = 2 x 4 x 3 = 24

There are 24 different types of sandwiches that can be made if only one of each is chosen.

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step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.