
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 boys and 4 girls to be arranged in a row.
(1) If the boys must be together, how many arrangements are possible?
(2) If neither the boys nor the girls can stand next to someone of the same gender, how many arrangements are there?
(3) If person A is to the left of person B, how many arrangements are possible?

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