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Question of the Day: Finite Mathematics

The state of X has passed a law stating that all license plate numbers must adhere to the following rules:

1) A prefix of one or two letters must precede a string of five digits.

2) "X" can only appear in the prefix if it is the second letter of a two-letter group.

3) Repetition is allowed.

How many license plate numbers are possible under these rules?

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