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Identifying Combination Amounts - One atta Time

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A video game lets you choose a characters hair style, hair color and their class. Their choices are listed below.
Hair StyleHair ColorClass
Long
Mowhawk
Short
Blue
Green
Blonde
Brown
Red
Archer
Thief
Warrior
How many different combinations do you have to choose from?
7 8 9 4 5 6 1 2 3 0 . c + ( ) - × : ± x/y x x ÷ ^
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