Ch 5: High School Algebra: Combinations & Permutations

About This Chapter

With these lessons, students can learn more about the tools they will need to enhance their high school algebra skills. Working with this chapter can help students study for upcoming exams, prepare for discussions in class, and earn higher grades.

Combinations & Permutations - Chapter Summary

High school students need to read and understand a great deal of information both before they graduate and as they move on in college or the professional world. This chapter provides students with focused training on developing their understanding of computations and permutations in algebra.

Instead of an endless chapter of information, the chapter has been divided into short, individualized lessons. Students have the option to review all of the lessons in order, but they can also pick and choose lesson topics in which they need the most assistance. The chapter menu provides a list of all lessons available, and since each lesson is only focused on a single topic, students can easily find what they need. After completing this chapter, students will be ready to:

  • Define a permutation
  • Use a formula to calculate a permutation
  • Calculate the probability of given permutations
  • Use a formula to solve math combinations
  • Describe how combinations relate to Pascal's Triangle

6 Lessons in Chapter 5: High School Algebra: Combinations & Permutations
Test your knowledge with a 30-question chapter practice test
Permutation: Definition, Formula & Examples

1. Permutation: Definition, Formula & Examples

In this lesson, we will examine a mathematical method of calculating the number of ways in which we can order a group of distinct objects. This involves the use of a mathematical concept known as a permutation.

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.

How to Calculate the Probability of Permutations

3. How to Calculate the Probability of Permutations

In this lesson, you will learn how to calculate the probability of a permutation by analyzing a real-world example in which the order of the events does matter. We'll also review what a factorial is. We will then go over some examples for practice.

Math Combinations: Formula and Example Problems

4. 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.

The Relationship Between Pascal's Triangle & Combinations

5. The Relationship Between Pascal's Triangle & Combinations

Pascal's triangle shows many important mathematical concepts like the counting numbers and the binomial coefficients. In this lesson, we'll show how Pascal's triangle is related to combinations.

Permutation & Combination: Problems & Practice

6. Permutation & Combination: Problems & Practice

In this lesson, we will practice solving various permutation and combination problems using permutation and combination formulas. We can continue our practice when we take a quiz at the end of the lesson.

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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