
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 newly formed society consists of 12 members and a similar hierarchical leadership structure as described in the original problem. The society seeks to appoint a chief, followed by two supporting chiefs (Supporting Chief A and Supporting Chief B). Supporting Chief A will oversee 3 inferior officers, while Supporting Chief B will oversee 2 inferior officers. Determine the number of different ways to establish this leadership configuration.

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