
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
The debate team of Cangzhou No.2 Middle School represented Hebei Province in the 2nd Beijing-Tianjin Middle School Debate Competition in December 2016 and won the second place. The team is currently composed of 3 male and 5 female members.  
(1) The school needs to arrange a photo shoot for the entire team to promote their excellent achievement, requiring that the 3 male members are not adjacent to each other. How many different arrangements are there?  
(2) The 8 team members are to be divided into four groups, with two members in each group, to hold seminars in four different classes: Senior Year 1 Class 1, 2, 3, and 4. How many different grouping methods are there?  
(3) To prepare for the next competition, 4 members are to be selected from the 8 team members to take the roles of first, second, third, and fourth speakers, with the requirement that at least one male member must be included. How many different selection methods are there?

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