Ch 19: Algebra II: Combinatorics

About This Chapter

This chapter on combinatorics can show you how to use combinations and permutations to find the probability of certain events. Concise video lessons and practice math problems can help you assimilate the material.

Algebra II: Combinatorics - Chapter Summary and Learning Objectives

This chapter includes lessons focused on combinatorics, which is the study of countable (also known as finite) mathematical elements. You'll learn about the fundamental counting principle and the purpose of combinations when counting. Lessons also teach you about several probability rules, including the difference between independent and dependent events. Once you complete the chapter, you should have knowledge of the following topics:

  • Fundamental counting principle
  • Permutations and combinations
  • Independent and dependent events
  • Conditional probability

Video Objective
Fundamental Counting Principle: Definition and Uses Define and explain the use of the fundamental counting principle when dealing with combinatorics.
How to Calculate a Permutation Differentiate between permutations and combinations, discussing the purpose that combinations and permutations serve when counting.
Math Combinations: Formula and Example Problems Understand the factorial operation when counting down to factorials and show how to use math combinations in order to tell how many differing ways you may select an object from a larger group of items.
Probability of Independent and Dependent Events Differentiate between independent and dependent events, calculating each of these probabilities.
Conditional Probability: Definition and Uses Define conditional probability and its uses in the mathematical and practical world.

5 Lessons in Chapter 19: Algebra II: Combinatorics
Test your knowledge with a 30-question chapter practice test
How to Use the Fundamental Counting Principle

1. How to Use the Fundamental Counting Principle

There are many situations in which you will have to make several decisions simultaneously. The fundamental counting principle will help you determine how many different possible outcomes there are when you have to make multiple simultaneous decisions.

How to Calculate a Permutation

2. How to Calculate a Permutation

A permutation is a method used to calculate the total outcomes of a situation where order is important. In this lesson, John will use permutations to help him organize the cards in his poker hand and order a pizza.

Math Combinations: Formula and Example Problems

3. Math Combinations: Formula and Example Problems

Combinations are an arrangement of objects where order does not matter. In this lesson, the coach of the Wildcats basketball team uses combinations to help his team prepare for the upcoming season.

Probability of Independent and Dependent Events

4. Probability of Independent and Dependent Events

Sometimes probabilities need to be calculated when more than one event occurs. These types of compound events are called independent and dependent events. Through this lesson, we will look at some real-world examples of how to calculate these probabilities.

Conditional Probability: Definition & Uses

5. Conditional Probability: Definition & Uses

We know a coin can land on either heads or tails. But what would happen if one coin flip changed the next? In this lesson, we'll look at events that are dependent on each other, and we'll learn how to calculate the probability of two events occurring in a combined manner.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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