
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
Assuming all 10 digits are equally likely to appear in numeric positions and all 26 letters are equally likely to appear in the alpha positions, how many more license plates can Texas issue than Maine, given that Texas has a license plate format of two letters followed by four numbers and one letter (LLNNNNL) and Maine has a license plate format of three letters followed by three numbers (LLLNNN)?

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