
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 creature has six arms, each requiring one mitten, one sock, and one shoe for proper attire. Determine the number of different orders in which the creature can put on its mittens, socks, and shoes, assuming that on each arm, the sock must be put on before the shoe, and the mitten must be put on after the sock but before the shoe.

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