
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 Cangzhou No.2 Middle School debate team represented Hebei Province in the second Beijing-Tianjin Middle School Debate Competition in December 2016 and won the second place. The team is composed of 3 male and 5 female members.  
(1) To publicize the excellent achievements of the debate team, the school needs to arrange all team members for a group photo, requiring that the 3 male members are not adjacent to each other. How many different arrangements are there?  
(2) The 8 team members are divided into four groups, each with two people, to hold seminars in four classes of senior one, namely 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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