# Math for teachers

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A certain state makes license plates with any three digits followed by any three letters. How many different license plates can be made?

17)

______

A)

17,576,000

B)

9

C)

11,232,000

D)

12,812,904

• Math for teachers -

There are 26 choices in each letter, and 10 choices in each digit.
By the multiplication principle, the total number of choices for a 3-letter followed by 3-digits is therefore 26*26*26*10*10*10
=26³*10³

• Math for teachers -

17,576,000 : repeating
11,232,000 : not repeating

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