
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
Twelve people sit down for dinner where there are three choices of meals. Four people order the beef meal, four order the chicken meal, and four order the fish meal. The waiter serves the twelve meals in random order. Find the number of ways in which the waiter could serve the meal types to the twelve people so that exactly two people receive the type of meal ordered by them.

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