
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
A group is comprised of 4 male and 3 female students standing in a row for a photo. Represent the results numerically.
1. If female A cannot be at the head and female B cannot be at the tail of the row, how many different arrangements are there?
2. If females cannot stand next to each other, how many different arrangements are there?
3. If female A must stand to the right of female B, how many different arrangements are there?

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