Chapter 1 – Counting Techniques
This lesson is the first of five lessons on the counting techniques needed for a study of probability. The General Counting Principle, also known as the Multiplication Principle, is the foundation for the lessons in Binary Counting and Permutations – Parts I and II. It can be done fairly quickly, as students generally don’t appreciate the technique’s power until dealing with Binomial Probabilities and Permutations. It is however, an important foundational technique that should be referred to in these future topics.
The key is to get students to realize that in a two-step process, the list of possible outcomes forms a two-dimensional grid.