
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 have twelve letters in their alphabet: A, E, G, I, K, O, P, R, S, T, U, and V. Consider a scenario where license plates are made up of five letters using only the letters from the Rotokas alphabet. Determine how many different license plates are possible if they must start with either A or E, end with V, cannot contain the letters S or P, and have no repeating letters.

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