
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. Select 5 students to serve as representatives for 5 different subjects. Find the number of ways that satisfy the following conditions:<br/>$(1)$ There must be girls, but fewer girls than boys;<br/>$(2)$ One girl must represent the Chinese subject;<br/>$(3)$ One specific boy must be included but cannot represent the Chinese subject.

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