
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
A study group has $8$ students. They need to select $2$ boys and $1$ girl to participate in math, physics, and chemistry competitions. The requirement is that each subject has $1$ participant, and there are a total of $180$ different ways to select. How many boys and girls are there in this group?

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