
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 2 boys and 3 girls. Under the following different conditions, find the total number of different arrangements. (Answer with numbers, partial credit may be given for the process)<br/>
$(1)$ Select 4 people to line up;<br/>
$(2)$ Line up in two rows, with 1 person in the front row and 4 people in the back row;<br/>
$(3)$ Line up all together, with girls standing together;<br/>
$(4)$ Line up all together, with boys not adjacent to each other;<br/>
$(5)$ Line up all together, with person A not standing at the far left or far right;<br/>
$(6)$ Line up all together, with person A not standing at the far left and person B not standing at the far right;<br/>
$(7)$ Line up all together, with person A in front of person B, and person B in front of person C.

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