
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
Riley, Sam, and Terry listen to six different songs and discuss their preferences. Only one pair-wise grouping (out of the possible three pairings) is allowed to like a particular song that is disliked by the third person, but no song is liked by all three. For each of the two remaining pairs, each must like at least two songs disliked by the third. How many different ways can this liking scenario be arranged?
A) 720
B) 1440
C) 2160
D) 2880
E) 4320

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