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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 4th, 2014

26 letters in the alphabet, with 3 possible places
10 numbers (0 thru 9), with 3 possible places
Assuming letters and numbers can repeat within the license plate

(26^3) * (10^3) = 17,576,000
Since 242 arrangements are not allowed: 17,576,000 - 242 = 17,575,758 plates

Dec 4th, 2014

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Dec 4th, 2014
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Dec 4th, 2014
Jun 24th, 2017
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