
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
There are 4 boys and 5 girls.<br/>$(1)$ How many ways are there to choose 5 representatives from them?<br/>$(2)$ How many ways are there to choose 5 representatives, with 2 boys, 3 girls, and one specific girl must be included?<br/>$(3)$ How many ways are there to choose 5 representatives, with at least 2 boys included?<br/>$(4)$ If they are divided into three groups with 4, 3, and 2 people respectively, how many ways are there to group them?

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