
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
A school library now possesses eight identical copies of a certain book. Each day, books are either in the library or checked out. Determine the number of different configurations possible if at least two books must remain in the library and at least two must be checked out.

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