
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 that female athlete A can only undertake backstroke or freestyle, male athlete B can only undertake butterfly or freestyle, and the remaining male and female athletes can participate in all four swimming styles, determine the number of possible arrangements of the Chinese team.

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