
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 universities are conducting independent recruitment and have all sent acceptance letters to four students—A, B, C, and D—from a certain high school, who have each won first place in a provincial competition. If these four students are willing to attend any of these four universities, calculate the number of ways in which only two students are admitted to the same university.

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