
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
Four people, Amy, Beth, Jo, and Kim listen to five different songs and discuss which ones they like. No song is liked by all four. For each group of three individuals, there is at least one song liked by those three but not liked by the fourth. Determine the number of different ways this situation can arise.

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