A cafe\' lets you order a deli sandwich your way. There are 6 choices for bread,

Question

A cafe' lets you order a deli sandwich your way. There are 6 choices for bread,4 choices for meat, 4 choices for cheese, and 12 different garnishes (condiments). How many different sandwich possibilities are there if you choose:

a) One bread; two different meats; three different cheeses; and four different garnishes?

b) One bread, one meat, one cheese, and three different garnishes?

c) One bread, two meats, and one cheese?

d) Now suppose that repeats are allowed in the meat and cheese choices? For example, in addition to the choice "ham and turkey" you chooce "ham and ham"? Do these additional options change the answer to part c? If yes, how many sandwich possibilities are there in this case? If not, explain why.

Explanation / Answer

a)

1*2*3*4 = 24

b)

1*1*1*3 = 3

c)

1*1*1 = 1

d)

yes because with this you are allowing repetitions

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