
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 new type of license plate in a certain state consists of 5 digits and 3 letters. The 3 letters, not necessarily distinct, must appear next to each other, and these characters must begin in one of the first 6 slots of the license plate. How many distinct license plates are possible?

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