
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 6 male athletes and 4 female athletes, among them, there is 1 male captain and 1 female captain. A team of 5 people is to be selected to participate in a competition. How many ways are there to select the team under the following conditions?

(1) At least 1 female athlete is included;

(2) The team must include a captain and at least 1 female athlete.

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