
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 valid license plate in Yonderville consists of three letters followed by three digits. The first letter must be a vowel (A, E, I, O, U), which cannot repeat in the license plate, while the other two letters can be any letter except the first chosen vowel. How many valid license plates are possible?

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