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How many distinct license plates can be formed if each license plate consists of 3 letters followed by 3 numbers? Using the same license plate format from the previous question, how many distinct license plates can be formed if NO letter or number can repeat?

 Jul 31, 2016

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If repeats are allowed then we have:

26^3 x 10^3 =17,576,000 plates.Note: Some letter combinations may not be allowed such as "swear" words.

 

If repeats are not allowed, then we have:

26 x 25 x 24 x 10 x 9 x 8 =11,232,000 plates. Note: Same as above.

 Jul 31, 2016

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