SOLUTION: a license plate is to consist of three digits followed by two uppercase letters. Determine the number of different license plates possible if the first digit cannot be zero, and r

Algebra ->  Probability-and-statistics -> SOLUTION: a license plate is to consist of three digits followed by two uppercase letters. Determine the number of different license plates possible if the first digit cannot be zero, and r      Log On


   

Question 555436: a license plate is to consist of three digits followed by two uppercase letters. Determine the number of different license plates possible if the first digit cannot be zero, and repetition is not permitted
Answer by stanbon(75887) About Me  (Show Source):
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a license plate is to consist of three digits followed by two uppercase letters. Determine the number of different license plates possible if the first digit cannot be zero, and repetition is not permitted
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1st digit: 9 ways (0 is excluded)
2nd digit: 9 ways (0 is now included)
3rd digit: 8 ways (0 and the 2nd digit are excluded)
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1st Letter: 26 ways
2nd Letter: 25 ways
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Total # of license plates: 9^2*8*26*25 == 421,200
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Cheers,
Stan H.
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