
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 library has ten identical copies of a specific book. At any given time, some of these copies are at the library and some are checked out. Each time, at least two books must be in the library and at least three must be checked out. How many different arrangements are possible?

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