
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
A class needs to select 5 students from 5 boys and 3 girls to serve as course representatives for 5 different subjects. Calculate the number of ways to satisfy the following conditions:

(1) The number of selected girls must be less than the number of selected boys;

(2) Boy A must be a course representative, but he cannot be the representative for the mathematics course;

(3) Girl B must be the representative for the Chinese language course, and Boy A must be a course representative, but he cannot be the representative for the mathematics course.

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