Math for teachers
posted by cassie .
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

There are 26 choices in each letter, and 10 choices in each digit.
By the multiplication principle, the total number of choices for a 3letter followed by 3digits is therefore 26*26*26*10*10*10
=26³*10³ 
17,576,000 : repeating
11,232,000 : not repeating