Subject - Counting Principles

Counting Methods and the Fundamental Counting Principle

Counting Permutation, Factorial Notation and Formula for Combinations

Kindly assist in answering the questions below in detail. Answer has to be clear and visible showing how to get the answer and how the question is answered. Show all work on how the problem is solved. The questions fall in the category of the topics listed above. Thank you kindly!

Question #1

How many ways can two slices of pizza be chosen from a plate containing one slice each of pepperoni, sausage, mushroom, and cheese pizza.

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

Each conference of the National Football League consists of sixteen teams. If we assume there were no ties, the top three teams in a conference could be determined from their win-loss records. How many different outcomes are possible for this top-three team list?