
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
Arrange volunteers A, B, C, D, E, and F to take care of three elderly people, referred to as 甲, 乙, and 丙, with two volunteers per elder. Due to the distance between the volunteers' and elders' residences, volunteer A cannot take care of elder 甲, and volunteer B cannot take care of elder 乙. There are a total of _______ different arrangements.

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