# Ch 23: Algebra II - Combinatorics: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering high school algebra material will benefit from taking this course. There is no faster or easier way to learn high school algebra. Among those who would benefit are:

- Students who have fallen behind in understanding the fundamental counting principle or working with permutations
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about combinatorics
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Algebra II: Combinatorics chapter exam.

## Why it works:

**Study Efficiently**: Skip what you know, review what you don't.**Retain What You Learn**: Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day**: Use the Algebra II: Combinatorics chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any combinatorics question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in an Algebra II: Combinatorics unit of a standard high school algebra II course. Topics covered include:

- The fundamental counting principle
- Permutations
- Math combinations
- Probability of independent and dependent events
- Conditional probability

### 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.

### 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.

### 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.

### 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.

### 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.

### 6. Binomial Coefficient: Formula & Examples

In this lesson, you will discover the binomial coefficients, learn how to compute them, and find out what they can be used for. Some examples will highlight how they are used in counting problems.

### 7. Calculating Binomial Probability: Formula & Examples

When we're calculating probabilities and there are only two possible outcomes, we can consider using the binomial probability. In this lesson we'll look at the conditions for using this probability, the formula, and some examples that clarify how to use it.

### 8. Combinatorics: Definition & History

This lesson looks at the branch of mathematics known as combinatorics. We will look at the definition of combinatorics as well as some of its history and how it is used today. When you are finished, you can test your new found knowledge with a quiz.

### 9. Combinatorics: Formulas & Examples

The mathematical field of combinatorics involves determining the number of possible choices for a subset. In this lesson, we use examples to explore the formulas that describe four combinatoric cases based on ordering and repetition.

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### Other Chapters

Other chapters within the High School Algebra II: Help and Review course

- Algebra II - Basic Arithmetic Review: Help and Review
- Algebra II - Algebraic Expressions: Help & Review
- Algebra II - Real Numbers: Help and Review
- Algebra II - Complex and Imaginary Numbers Review: Help and Review
- Exponents & Exponential Expressions in Algebra: Help & Review
- Algebra II - Properties of Functions Review: Help and Review
- Algebra II - Linear Equations Review: Help and Review
- Algebra II - Systems of Linear Equations: Help and Review
- Algebra II - Inequalities Review: Help and Review
- Algebra II - Matrices and Determinants: Help and Review
- Algebra II - Absolute Value Review: Help and Review
- Algebra II - Polynomials: Help and Review
- Algebra II - Factoring: Help and Review
- Algebra II Quadratic Equations: Help and Review
- Algebra II - Rational Expressions: Help and Review
- Algebra II - Graphing and Functions: Help and Review
- Algebra II - Roots and Radical Expressions Review: Help and Review
- Algebra II - Quadratic Equations: Help and Review
- Algebra II - Exponential and Logarithmic Functions: Help and Review
- Algebra II - Conic Sections: Help and Review
- Algebra II - Sequences and Series: Help and Review
- Algebra II - Sets: Help and Review
- Algebra II Ratios & Proportions: Help & Review
- Algebra II - Statistics: Help and Review
- Algebra II - Trigonometry: Help and Review