
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 five letters followed by a dash and three single digits. How many different license plate combinations are possible if exactly one letter is repeated exactly once, and digits cannot be repeated?

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