
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
Four boys and three girls stand in a row. (Points are awarded only if an analytical method is provided before calculating the result)
(1) If the three girls must stand together, how many different arrangements are possible?
(2) If no two girls are to stand next to each other, how many different arrangements are possible?
(3) If there are exactly three people between person A and person B, how many different arrangements are possible?
(4) If persons A and B are adjacent, but neither is next to person C, how many different arrangements are possible?

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