Thread: Combinations using Binomial Theorem

Hello,

The problem i am having is as follows:

A deli has 6 choices for bread, 4 choices for cheese, 4 choices for meat, and 12 condiments.

How many combinations are there if you choose:
a)one bread, one meat, and one cheese?
b)one bread, one meat, one cheese, 0-12 condiments?
c)one bread, 0-2 meats, 0-2 cheeses, and 0-12 condiments?

I know that part a is 6*4*4 = 96 choices.
I also know I need to use the binomial theorem to answer pars b and c but I am not exactly sure how to use it correctly.

Thank you!

IF I understand the 0-12....

then for (c)

Ok, that makes sense. Thank you!