SOLUTION: In a particular state, license plates must consist of 3 letters followed by 3 numbers. How many such plates exist if the first letter cannot be a z and the plate contains at least

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Question 532030: In a particular state, license plates must consist of 3 letters followed by 3 numbers. How many such plates exist if the first letter cannot be a z and the plate contains at least one 4?
What threw me off is the at least one 4 part.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a particular state, license plates must consist of 3 letters followed by 3 numbers. How many such plates exist if the first letter cannot be a z and the plate contains at least one 4?
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# of plates = # possible - # with no 4's
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# possible = 25*26^2*10^3 = 16900000
# with no 4's = 25*26^2*9^3 = 12320100
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# of plates = 16900000-12320100 = 4579900
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Cheers,
Stan H.
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