
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
Alan, Brenda, Curtis, Daisy, Ethan, and Fiona are participants in a race. How many different 1st, 2nd, and 3rd place outcomes are possible if there are no ties, with two examples being Ethan-Alan-Brenda and Daisy-Curtis-Ethan?

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