
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
$60$ students are wearing blue shirts and $84$ students are wearing yellow shirts, and the $144$ students are assigned into $72$ pairs. In exactly $25$ of these pairs, both students are wearing blue shirts. Determine the number of pairs in which both students are wearing yellow shirts.

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