How many plates in a national licence plate system with 3 letters and 3 numbers?

[Mathisfun88]

3 letters and 3 numbers (including 000) make up plates.

I got 17,576,000.

26*26*26*1000

Is this correct?

 

[mmm4444bot]

Yes, if the format is either of the following (i.e., containing 3 adjacent letters and 3 adjacent numbers):

ABC123

123ABC

The count is higher, if both formats are used together.

If letters and/or numbers are not required to be adjacent, the count is higher still. :cool: