
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
There are 6 students participating in two extracurricular activities, each student must participate in one activity but not both at the same time, and each activity can have a maximum of 4 people. Therefore, there are a total of $\_\_\_$ arrangements possible. (Answer in mathematical form)

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