
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
Fiona is observing a group of twelve college students. She wants to know how many different pairs of students she can analyze to determine whether they are roommates or not. How many different pairs can she observe?

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