
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
Given a basketball team has 10 players, including 2 centers, 2 right forwards, 2 left forwards, 1 right guard, and the remaining 3 players can play as either left or right guards, calculate the number of possible line-ups that can be formed if 5 players are selected.

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