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24 September, 17:20

Automobile license plates in Massachusetts usually consist of three digits followed by three letters. The first digit is never zero. How many different plates of this type could be made?

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  1. 24 September, 17:32
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    1,58,18,400

    Step-by-step explanation:

    1st digit can have the values 1-9 (9 distinct values)

    2nd digit can have the values 0-9 (10 distinct values)

    3rd digit can have the values 0-9 (10 distinct values)

    1st letter can have the value A-Z (26 distinct values)

    2nd letter can have the value A-Z (26 distinct values)

    3rd letter can have the value A-Z (26 distinct values)

    Total number of different plates possible = 9*10*10*26*26*26

    =1,58,18,400
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