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Mathematics

Description

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?

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Explanation & Answer

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


Anonymous
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