
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
A license plate in a certain state consists of 5 digits, not necessarily distinct, and 3 letters, also not necessarily distinct. These eight characters may appear in any order, except that the three letters must appear next to each other. How many distinct license plates are possible?

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