
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
In a committee arrangement, there are seven women and three men. Women sit on seven indistinguishable rocking chairs, men sit on three indistinguishable stools, and additionally, there is one unique chair with armrests that can be occupied by anyone. In how many ways can the rocking chairs, stools, and the unique chair be arranged when the committee meets in a single row?

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