
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
In a table tennis team of 10 players, there are 3 main players. If 5 players are to participate in a match, and the 3 main players are to be arranged in the first, third, and fifth positions, while the remaining 7 players are to choose 2 to be arranged in the second and fourth positions, how many different arrangements are there in total? (Answer with a number).

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