question archive If a state has license plates that can be either 3 letters followed by 3 digits or 3 digits followed by 3 letters, how many possible plates are there?

If a state has license plates that can be either 3 letters followed by 3 digits or 3 digits followed by 3 letters, how many possible plates are there?

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If a state has license plates that can be either 3 letters followed by 3 digits or 3 digits followed by 3 letters, how many possible plates are there?

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35,152,000

Step-by-step explanation

There are 10*10*10 = 1000 ways to choose the digits and 26*26*26 = 17576 ways to choose the letters, then 2 ways to choose either LLLDDD or DDDLLL, giving a total of 2*1000*17576 = 35152000

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