Question

Josie had a choice of 3 breads, 4 choices of meat, and 4 choices of cheeses to make a sandwich.

How many different sandwiches can she make?

24

36

48

60

Answer 1

3*4*4=48
she can make 48 different sandwiches

Answer 2

The answer is 48

Explanation:

For every different sandwich, she needs to choose one breat, one meat and one cheese.

For each choice of bread, there are 4 choices of meat and 4 choices of cheese. Also, for each meat, there are four choices of cheese. It means that for each bread there are 4(choices of meat)*4(choices of cheeses) = 16 possible combinations.

There are also 3 choices of breads. For each bread, there are 16 possible combinations. So, in all, there are 3*16 = 48 possible combinations.