
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 larger group of high schoolers today, consisting of 12 students. She tries to guess whether each pair of students like or dislike each other, but this time, she decides to ignore any pairs where both students have names starting with the same letter. Assuming there are 3 pairs of students whose names start with the same letter, how many unique pairs can Fiona consider?

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