
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 male students and 3 female students. Select 5 people from them to be class representatives for 5 different subjects. Calculate the number of ways to select under the following conditions:

(1) There are female students, but their number must be less than that of male students;

(2) A specific female student must be the class representative for the Chinese language;

(3) A specific male student must be included, but he cannot be the class representative for mathematics;

(4) A specific female student must be the class representative for the Chinese language, and a specific male student must be included but cannot be the class representative for mathematics.

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