
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
Given that Amy, Beth, and Jo are listening to five different songs and no song is liked by all three, determine how many ways the configuration can occur where each of the three pairs of the girls has at least one song liked exclusively by those two girls, but not the third.

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