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Help with Counting in Algebra (I need help with this quesion again)

Algebra
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A state's license plates consist of three letters followed by three numerals, and 242 letter arrangements are not allowed. How many plates can the state issue?

Dec 1st, 2014

3 numerals = 10 x 10 x 10 = 1000
3 letters -243 bad ones = (26 x 26 x 26) - 243 = 17,333

100 x 17333 = 1,733,300 

Dec 1st, 2014

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