
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
The Rotokas of Papua New Guinea use twelve letters in their alphabet: A, E, G, I, K, O, P, R, S, T, U, and V. Design a license plate system where plates consist of five letters using only the Rotokas alphabet. How many different license plates are possible if the plate must start with either A or P, end with I, exclude the letter O, and have no repeating letters?

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