
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
Let's consider California and New York license plates with different alpha-numeric formats. California license plates are formatted as two letters, followed by two digits then followed by two more letters, while New York has a format of two letters, followed by three digits and ending with one letter. Assuming all 10 digits are equally likely to appear in numeric positions and all 26 letters are equally likely to appear in alpha positions, how many more license plates can California issue than New York?

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