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Unformatted text preview: Counting methods 2 Position 1 Position 2 Position 3 How many ways can three counters be arranged in a row? Counting methods 2 Position 1 can be filled in three ways Position 1 Position 1 Position 1 Position 2 Position 2 Position 2 Position 3 Position 3 Position 3 Counting methods 2 If green is in position 1, position 2 can be filled in two ways Position 3 can then be filled in one way for each of these cases Counting methods 2 With blue in the first position With red in the first position Counting methods 2 Position 1 Position 2 Position 3 Counting methods 2 There are 3 × 2 × 1 = 6 ways of arranging three objects in a row. There are 3! Ways of arranging three objects in a row. There are n! ways of arranging n objects in a row. ...
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This note was uploaded on 04/12/2011 for the course MATH 2180 taught by Professor Staff during the Spring '11 term at North Texas.
 Spring '11
 staff
 Math, Counting

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