# Discrete Math

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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#### Solution Preview

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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#### Solution Summary

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

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