
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 3 male students and 2 female students. Calculate the total number of different arrangement methods under the following different requirements:  
(1) All are arranged in a row where "A" can only be in the middle or on the sides. There are  \_\_\_\_\_\_ ways to arrange this;  
(2) All are arranged in a row where the male students must be grouped together. There are \_\_\_\_\_\_ ways to arrange this;  
(3) All are arranged in a row where the male students cannot be grouped together. There are \_\_\_\_\_\_ ways to arrange this;  
(4) All are arranged in a row where the order of "A", "B", "C" (three males) from left to right remains unchanged. There are \_\_\_\_\_\_ ways to arrange this;  
(5) All are arranged in a row where "A" is not on the far left and "B" is not on the far right. There are \_\_\_\_\_\_ ways to arrange this;  
(6) If one more female student is added, all are arranged in a row where males and females are not next to each other. There are \_\_\_\_\_\_ ways to arrange this;  
(7) They are arranged in two rows, with 3 people in the front row and 2 people in the back row. There are \_\_\_\_\_\_ ways to arrange this;  
(8) All are arranged in a row where there must be 1 person between "A" and "B". There are \_\_\_\_\_\_ ways to arrange this.

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