
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 $5$ boys and $3$ girls. From this group, select $5$ people to serve as representatives for $5$ different subjects. Find the number of ways to satisfy the following selection criteria:

$(1)$ There must be at least one girl, but the number of girls must be less than the number of boys;

$(2)$ A specific girl must be the representative for the Chinese language subject;

$(3)$ A specific boy must be included, but he cannot be the representative for the Mathematics subject;

$(4)$ A specific girl must be the representative for the Chinese language subject, and a specific boy must be a representative but not for the Mathematics subject.

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