
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
From $m$ boys and $n$ girls $(10 \geqslant m > n \geqslant 4)$, two people are selected as team leaders. Suppose event $A$ represents the selected 2 people being of the same gender, and event $B$ represents the selected 2 people being of different genders. If the probability of event $A$ is equal to the probability of event $B$, what are the possible values of $(m, n)$?

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