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7/24/2019 Counting Methods 2.pps
1/5
Position1 Position2 Position3
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Counting methods 2
How many ways can three counters be arranged in a row?
7/24/2019 Counting Methods 2.pps
2/5
Position 1 can be filled in three ways
Position 1 Position 2 Position 3
Position 1 Position 2 Position 3
Position 1 Position 2 Position 3Position 1 Position 2 Position 3Position 1 Position 2 Position 3Position 1 Position 2 Position 3
Position 1 Position 2 Position 3
P
osition 1 Position 2 Position 3
Position 1 Position 2 Position 3
Position 1 Position 2 Position 3
ESSENTIALESSENTIALMathematics ToolboxMathematics Toolbox
Counting methods 2
7/24/2019 Counting Methods 2.pps
3/5
If green is in position 1, position 2can be filled in two ways
Position 3 can then be filled in one
way for each of these cases
ESSENTIALESSENTIALMathematics ToolboxMathematics Toolbox
Counting methods 2
7/24/2019 Counting Methods 2.pps
4/5
With blue in the firstposition
With red in the first
position
ESSENTIALESSENTIALMathematics ToolboxMathematics Toolbox
Counting methods 2
7/24/2019 Counting Methods 2.pps
5/5
Position 1
Position 2 Position 3
ESSENTIALESSENTIALMathematics ToolboxMathematics Toolbox
Counting methods 2