
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 different books, how many different ways can they be distributed according to the following requirements:
(Ⅰ) Divide into three parts, each part with 2 books;
(Ⅱ) Give to three people, A, B, and C, each receiving 2 books;
(Ⅲ) Give to three people, A, B, and C;
(Ⅳ) Give to three people, A, B, and C, with each person receiving at least 1 book.
(Please express the final result with numbers).

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