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.
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