
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
Six colleagues: Abe, Binta, Carlos, Dana, Elsie, and Felix have a social media network exclusively among themselves. Each of them must have exactly two friends within this group, constrained such that no set of three friendships can form a closed triangle. In how many different ways can their friendships be arranged under these conditions?
- A) 15
- B) 24
- C) 60
- D) 120
- E) 360

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