
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
I seek to design a customized license plate that is 5 characters long. The license plate starts with two letters followed by three digits. The two starting letters should be the same, and amongst the three digits at the end, two digits should be the same while the third is different. How many ways can I design such a license plate?

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