Use the Fundamental Counting Principle, combinations, and permutations to answer the following questions. You must provide detailed calculations on how the answer was reached. I have the answer key so please don't bother if you aren't competent in these areas of math. Incorrect answers will not be paid.
How many unique types of pizza can you create when allowed to choose two of seven types of meats, two of eight types of vegetables, one of two types of sauces, and one of three types of crusts?
A bowl of candy contains many pieces of candy but only six different types of candy. How many ways can three pieces of candy be removed from the bowl? Assume you can remove one or more pieces of the same type of candy.
A basketball team has sixteen women on the roster. In how many ways can the coach choose a roster consisting of five different positions?