Ch 15: Combinatorics

About This Chapter

Use our video lessons to get information about combinatorics. Discover the fundamental counting principle, conditional probabilities and math combinations.

Combinatorics - Chapter Summary

Use the video lessons in this chapter to find out about various aspects of combinatorics, including the fundamental counting principle, permutations and math combinations. Explore the probability of independent and dependent events, and learn what conditional probability is. When you've watched all these lessons, you should be ready to:

  • Use the fundamental counting principle
  • Calculate a permutation
  • Explain and use the formula for math combinations
  • Determine the probability of dependent and independent events
  • Define and use conditional probabilities

With these short, engaging lessons, you'll get a solid understanding of these topics. Our professional instructors make learning enjoyable, and the self-assessment quizzes at the end of each lesson allow you to test your knowledge. A jump feature in the timeline makes it easy to return to key points in each lesson for additional study. Each lesson also includes a written transcript that designates important terms and phrases.

5 Lessons in Chapter 15: 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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.