
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
Coach Grunt is preparing a 5-person starting lineup for his basketball team, the Grunters, which includes 15 players. Among them, Ace (a forward) and Zeppo (a guard), who are league All-Stars, will definitely be in the starting lineup. The remaining positions to be filled are one guard, one forward, and one center. If there are 4 additional guards, 5 additional forwards, and 3 centers available, how many different starting lineups are possible?

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