# Questions using combinations and permutations

**Question description**

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.**

**Question #1 **

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?

**Question #2 **

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.

**Question #3 **

A basketball team has sixteen women on the roster. In how many ways can the coach choose a roster consisting of five different positions?

## Tutor Answer

**Quality**

**Communication**

**On Time**

**Value**

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors