
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 girls and 4 boys.
(1) These 7 people line up in a row, with the requirement that the 3 girls are not adjacent to each other. How many different arrangements are there?
(2) Choose 3 people from these 7 to participate in a science competition, with at least 1 girl being selected. How many different selections are there?

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