
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
Our basketball team has expanded to 15 members. Before selecting the starting lineup consisting of a center, a power forward, a shooting forward, a point guard, and a shooting guard, we need to choose two team captains from the members, who will not play in the starting lineup. In how many ways can we select the two captains and the starting lineup?

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