## Key Concepts

- According to the
**Addition Principle**, if one event can occur in [latex]m[/latex] ways and a second event with no common outcomes can occur in [latex]n[/latex] ways, then the first*or*second event can occur in [latex]m+n[/latex] ways. - According to the
**Multiplication Principle**, if one event can occur in [latex]m[/latex] ways and a second event can occur in [latex]n[/latex] ways after the first event has occurred, then the two events can occur in [latex]m\times n[/latex] ways. This is also known as the**Fundamental Counting Principle**. - To determine
**how many permutations there are given [latex]n[/latex] distinct options**,- Determine how many options there are for the first situation.
- Determine how many options are left for the second situation.
- Continue until all of the spots are filled.
- Multiply the numbers together.