
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
Given an octopus with eight arms, one glove and one bracelet for each arm, find the number of different orders in which the octopus can put on its gloves and bracelets, given that the glove must be put on before the bracelet on each arm.

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