
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 study group of 8 students, if 2 boys and 1 girl are to be chosen to participate in three different competitions in mathematics, physics, and chemistry, with one student per subject, and there are 180 different ways to choose, how many boys and girls are there in the group?

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