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Counting techniques

Fundamental Counting Principle

In a sequence of events, the total possible number of ways all events can performed is the product of the possible number of ways each individual event can be performed.

Permutations

A permutation is an arrangement of objects without repetition where order is important.

Combinations

A combination is an arrangement of objects without repetition where order is not important.

Tree Diagrams

Tree diagrams are a graphical way of listing all the possible outcomes. The outcomes are listed in an orderly fashion, so listing all of the possible outcomes is easier than just trying to make sure that you have them all listed. It is called a tree diagram because of the way it looks.