
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 have dinner with three choices of meals. Four people order the beef meal, three order the chicken meal, and three order the fish meal. The waiter serves the ten meals randomly. Find the number of ways in which the waiter could serve the meal types to the ten people so that exactly two people receive the type of meal ordered by them.

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