
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 school, there are 10 rowing athletes, 3 of whom can only row on the right side, 2 can only row on the left side, and the remaining 5 can row on both sides. Now, 6 people need to be selected to row, evenly distributed on both sides. There are $\boxed{\text{different methods}}$ to do this (without considering the order of teammates on the same side).

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