A local restaurant sells sandwiches with 5 different choices for bread, 7 types of meat, and 4 types of cheese. You can also choose to add mayonnaise, mustard, both, or neither. How many different combinations are possible?

1 Answer
May 22, 2016

So you have 4 choices of sauce to add (or not).

Explanation:

For every choice of bread you have 7 types of meat, for a total of #5xx7=35# bread-meat combinations.
For every combination .... and so on.

Total number of combinations:
#5xx7xx4xx4=560# bread-meat-cheese-sauce.