Fundamental Counting Principle
The fundamental counting principle is a method for determining the number of possible outcomes in a situation where there are multiple choices or stages.
The Principle
Example: Two-Stage Experiment
Example: Three-Stage Experiment
Permutations vs Combinations
Factorial Notation
Example: Factorial
Practice Problems
- A restaurant offers 4 appetizers, 6 main courses, and 3 desserts. How many different meals can be formed?
- Calculate and .
- A lock has 4 dials, each with 6 letters. How many possible codes are there?
- Explain when to use permutations vs combinations.