
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 9 different books. Calculate the number of different ways to divide them in the following situations:  
(1) Into three groups, one group with 4 books, one group with 3 books, and one group with 2 books;  
(2) Among three people, one person gets 4 books, one person gets 3 books, and one person gets 2 books;  
(3) Evenly into three groups.

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