
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 and 3 letters. The digits and letters are not necessarily distinct. The three letters must not appear next to each other in any sequence. How many distinct license plates are possible?

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