How many different sandwich combinations can be made from two types of bread, three types of meat, and three types of cheese if each sandwich has bread, meat, and cheese?

Answer 1

When finding the total amount of combinations you would multiply the number of each option together. In this case you multiply the number of bread options x the number of meat options x the number of cheese options. To check, I would create a web diagram: (I listed out these options, because I was not able to draw a diagram. However, if you would like to book a lesson so I can show you how to use the diagram method, please let me know!)

White bread: turkey: cheddar

White bread: turkey: provolone

White bread: turkey: swiss

White bread: ham: cheddar

White bread: ham: provolone

White bread: ham: swiss

White bread: bologna: cheddar

White bread: bologna: provolone

White bread: bologna: swiss

Wheat bread: turkey: cheddar

Wheat bread: turkey: provolone

Wheat bread: turkey: swiss

Wheat bread: ham: cheddar

Wheat bread: ham: provolone

Wheat bread: ham: swiss

Wheat bread: bologna: cheddar

Wheat bread: bologna: provolone

Wheat bread: bologna: swiss