
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
License plates in two different states follow distinct alpha-numeric formats. State A issues plates with a format of five letters followed by one number. State B issues plates with three letters followed by three numbers. Assuming all 10 digits and all 26 letters are equally likely to appear in their respective positions, how many more license plates can State A issue than State B?

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