
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 10 athletes, 6 males and 4 females, including one male captain and one female captain. Select 5 students to participate in the competition. How many different methods of selection are there under the following conditions? (Answer with numbers)

1. 3 males and 2 females;
2. At least one captain must participate;
3. At least one female athlete;
4. Both a captain and at least one female athlete must be present.

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