Chapter 8 Counting

Picture of champagne bottles on a production line
Tomas er [CC BY-SA 3.0 (https://creativecommons.org/licenses/by-sa/3.0)]

In Chapter 7, we learned how to calculate probability. This requires us to count outcomes in the sample space. For a business, this might mean counting defective products coming off a production line in a factory.

If you are bottling champagne, it is not realistic to physically check whether every bottle has a good seal. Instead, you might examine a small sample of bottles determine if they have a defective seal. Suppose you examine ten bottles. How likely are you to find one or less defective seals?

This type of problem requires us t learn about counting orderings of objects in a systematic way using permutations and combinations. This chapter is all about counting with permutations and combinations. This information will help you to accomplish this chapter’s objective.

  • Apply combinations and permutations in applications involving counting.

Section 1 – Permutations

Section 2 – Combinations

Section 3 –¬†Probability with Permutations and Combinations

Chapter 8 Practice Solutions (PDF)