
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
Ten people sit down for dinner where there are three choices of meals: beef, chicken, and fish. Two people order the beef meal, four order the chicken meal, and four order the fish meal. The waiter mistakenly serves the ten meals in random order. Find the number of ways in which the waiter could serve the meals to the ten people so that exactly one person receives the type of meal ordered by that person.

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