SOLUTION: How many different license plates can be made using 3 letters followed by 3 digits selected from the digits 0 through 9, if letters and digits may be repeated?

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Question 330559: How many different license plates can be made using 3 letters followed by 3 digits selected from the digits 0 through 9, if letters and digits may be repeated?
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
there are 26 different letters (a-z) and 10 digits (0-10)
3 letters (assuming repetition allowed) = 26*26*26 or 26^3=17576
3 digits (assuming repetition is alllwed)= 10*10 *10=1000
so number of plates with 3 letters followed by 3 digtis = 26^3 * 10^3=17,576,000