
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. A group of 5 representatives for 5 different subjects needs to be selected. Calculate the number of selections that satisfy each of the following conditions:

(1) There are female representatives, but their count must be less than that of the male representatives.
(2) A particular girl must be the representative for the Chinese language subject.
(3) A particular boy must be included, but he must not be the representative for the mathematics subject.
(4) A particular girl must be the representative for the Chinese language subject, and a particular boy must be included, but he must not be the representative for the mathematics subject.

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