
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Automobile license plates for a state consist of four letters followed by a dash and two single digits. Calculate the number of different license plate combinations possible if exactly one letter is repeated and the digits may be the same or different, allowing repetition of the digits up to once.

Present the answer in LaTex format: \boxed{Your answer}
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