
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 friends go to a brunch where they can choose from four types of meals: pancakes, burgers, omelets, and sandwiches. Two order pancakes, three order burgers, three order omelets, and two order sandwiches. The server, unknowingly, mixes up orders when serving, giving out the meals randomly. Find the number of ways the server could serve the meals such that exactly two people receive the type of meal they ordered.

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