Module 8 Permutations, Combinations, and the Binomial Theorem

Lesson 1 Fundamental Counting Principle

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Question:

• How can you use the fundamental counting principle to determine the number of outcomes in a given problem?
• What is factorial notation and when is it used to solve problems?
  

Lesson

Click on Lesson 1 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

Link to Learn Everywhere lessons

Multimedia

Self Check Quiz

Each lesson will have a quiz to help you know how you are doing. You have three chances for each quiz and we count the best score only.

Link to Self Check Quiz

Project work

Lesson 2 Permutations

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Question:

• How can you determine the number of permutations when not all objects need to be arranged or some of the objects are identical?
• Are some counting methods more efficient than others in solving certain problems?
• How do you solve equations involving factorial notation?
  

Lesson

Click on Lesson 2 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

Link to Learn Everywhere lessons

Multimedia

Self Check Quiz

Each lesson will have a quiz to help you know how you are doing. You have three chances for each quiz and we count the best score only.

Link to Self Check Quiz

Project work

Lesson 3 Combinations

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Question:

• What are the similarities and differences between permutation and combination problems?
• How are problems involving combinations solved?
• How do you solve equations involving combinations?
  

Lesson

Click on Lesson 3 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

Link to Learn Everywhere lessons

Multimedia

Self Check Quiz

Each lesson will have a quiz to help you know how you are doing. You have three chances for each quiz and we count the best score only.

Link to Self Check Quiz

Project work

Lesson 4 The Binomial Theorem

This is a Project Based course.

Here is the link for your project. Scroll down to the bottom of the module. Please check it out before you proceed - it is half of your module grade.

Lesson Question:

• How do the coefficients of the terms in the expansion of (x + y)n relate to the terms of Pascal’s Triangle?
• How can you expand a binomial of the form (x + y)n without multiplying all the factors?

Lesson

Click on Lesson 4 and work through the whole lesson. You can expect this to take about three hours before doing the project work. Remember that the Assignment is for practice and NOT to be handed in.

Link to Learn Everywhere lessons

Multimedia

Self Check Quiz

Each lesson will have a quiz to help you know how you are doing. You have three chances for each quiz and we count the best score only.

Link to Self Check Quiz

Project work

Module 8 Permutations & combinations Wrap-up

Here is the link