
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 water polo team has 18 members. I want to choose a starting team consisting of 7 players, including one goalie and one captain (both are distinct roles and the other five positions are interchangeable, so the order in which they are chosen doesn't matter). In how many ways can I choose my starting team?

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