If a typical license plate is composed of three letters and three numbers in the format of the example: (ex. ABC - 123), how many unique plates can be produced?
And Part Two... How many license plates can be formed if duplication of letters or numbers (on the same plate) is not allowed?

Note: No funny-business here...We're using a 26-letter alphabet and the ten digits: 0,1,2,...

Part 1: <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>26*26*26*10*10*10 = 17,576,000</font color=yellow></span hi>
Part 2: <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>26*25*24*10*9*8 = 11,232,000</font color=yellow></span hi>

StuartR

Exactly! <img src=/S/cheers.gif border=0 alt=cheers width=30 height=16>

- When I first seen this puzzle, I knew how to solve the first part. But the second part, I didn't know where to begin. Still don't quite understand the reason your formula works but I know the end result is correct.

Still don't quite understand the reason your formula works

Consider the three letters.
<span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>The first one can be any of the 26 letters in the alphabet
The second can be any of the 25 remaining letters
The third can be any of the remaining 24</font color=yellow></span hi>
Similarly for the 3 digits.

StuartR