SOLUTION: A state's license plates consist of three letters followed by three numerals, and 249 letter arrangements are not allowed. How many plates can the state issue?

Question 757701: A state's license plates consist of three letters followed by three numerals, and 249 letter arrangements are not allowed. How many plates can the state issue?
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You have 26^3*10^3 = 17,576,000 different ways but 249 ways are not allowed

So you really have 17,576,000 - 249 = 17,575,751 different ways
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A state's license plates consist of three letters followed by three numerals, and 249 letter arrangements are not allowed. How many plates can the state issue?
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Pattern: LLLNNN
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# of possible: 26^3*10^3 = 17576000
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# with restriction: 17576000-249 = 17575751
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Cheers,
Stan H.
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