
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
Team A has $2m$ people, Team B has $3m$ people. If $14-m$ people are drawn from Team A and $5m-11$ people are drawn from Team B to participate in a game, how many people are in each team? How many different ways are there to select the participants for the game?

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