Need confirmation on answer and work. Thanks!

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Gr8fu13

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Feb 13, 2011
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If an automobile license plate contains 2 letters followed by 4 numbers and order matters, how many different license plates are possible? Assume that none of the letters or numbers can be repeated.

I have:
26 x 25 x 10 x 9 x 8 x 7 = 3,276,000 possible plates
Thanks!
 
Gr8fu13 said:
If an automobile license plate contains 2 letters followed by 4 numbers and order matters, how many different license plates are possible? Assume that none of the letters or numbers can be repeated.
I have:
26 x 25 x 10 x 9 x 8 x 7 = 3,276,000 possible plates
Click to expand...
Ii says no repeats. So you are correct.
 
JeffM said:
This is a harder problem than that. Is AA1111 a valid plate number?
Click to expand...

If there were repeats allowed, wouldn't it be 26x26x10x10x10x10?
I decreased each number because there were no repeats allowed. No, AA1111 would not be a valid plate number:) How would you go about solving this?
 
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