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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?

    © BrainMass Inc. brainmass.com December 24, 2021, 10:22 pm ad1c9bdddf
    https://brainmass.com/math/discrete-math/discrete-math-467778

    SOLUTION This solution is FREE courtesy of BrainMass!

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

    Number of plates for trucks with two letters followed by four digits = 26*26*10*10*10*10 = 6,760,000

    There are 137 "objectionable" three-letter prefixes that cannot be used.

    Number of license plates that cannot be used = 137*10*10*10 = 137000

    Number of vehicles that can be licensed = (17,576,000+6,760,000) - 137000 = 24,199,000

    Answer: 24,199,000 vehicles

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 10:22 pm ad1c9bdddf>
    https://brainmass.com/math/discrete-math/discrete-math-467778

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