
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
An ancient human tribe expanded and restructured their hierarchical system, now consisting of one chief, 3 supporting chiefs (supporting chief A, B, and C), each of whom had 2 equal, inferior officers. If the tribe currently has 15 members, what is the number of different ways to choose the leadership of the tribe? That is, in how many ways can we choose a chief, 3 supporting chiefs, and two inferior officers reporting to each supporting chief?

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