
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 Acme Corporation has modified its alphabet soup recipe. Now, each vowel (A, E, I, O, U) appears in different quantities: A appears 4 times, E appears 6 times, I appears 5 times, O appears 3 times, and U appears 2 times. How many five-letter "words" can be formed from a bowl of this new Acme Vowel Soup?

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