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Discrete Math

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The licensing department issues plates with three letters followed by three digits for cars, and two letters followed by four digits for trucks, except that there are 137 "objectionable" three-letter prefixes that cannot be used. How many vehicles can be licensed?

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The expert examines licensing department issuing plates with three letters for discrete math.

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Number of plates for cars with three letters followed by three digits = 26*26*26*10*10*10 = 17,576,000

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