
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 school's basketball team has 16 players, including a set of 4 quadruplets: Ben, Bill, Bob, and Brian. How many ways can we choose a 7-player starting lineup if exactly three of the quadruplets are in the starting lineup and at least one of the chosen players is captain of the team (assuming one of the players other than the quadruplets, named Calvin, is the captain)?

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