
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 soccer team has 16 members. Each player can play any position but 4 of them are rookies who can only play as forwards or defenders. In how many ways can we choose a lineup consisting of 1 goalkeeper, 4 defenders, 4 midfielders, and 3 forwards?

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