License plates are made using 3 letters followed by 3 digits. How many plates can be made of repetit

Discussion in 'Calculator Requests' started by math_celebrity, Jun 15, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    License plates are made using 3 letters followed by 3 digits. How many plates can be made of repetition of letters and digits is allowed

    We have 26 letters in the alphabet
    We have 10 digits [0-9]

    The problem asks for the following license plate scenario of Letters (L) and Digits (D)
    LLLDDD

    The number of plates we can make using L = 26 and D = 10 using the fundamental rule of counting is:
    Number of License Plates = 26 * 26 * 26 * 10 * 10 * 10
    Number of License Plates = 17,576,000
     

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