
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
In early April 2013, the Meishan City "Sports Lottery Cup" Primary and Middle School Athletics Meet came to a successful conclusion, and the Municipal Culture and Sports Bureau held a commendation meeting. A certain school has 6 male athletes and 4 female athletes, including 1 male captain and 1 female captain. 5 people are to be selected to participate in the commendation meeting from them. How many ways are there to select the participants under the following conditions (answer with numbers)?
(1) 3 males and 2 females  
(2) At least 1 captain participates  
(3) At least 1 female athlete  
(4) Both a captain and a female athlete must participate.

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