
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
A bed and breakfast inn has $5$ rooms, and $7$ friends arrive to spend the night. Each room can house no more than $2$ guests, and every room must be used. In how many ways can the innkeeper assign the guests to the rooms?
A) 9000
B) 10800
C) 12600
D) 15000
E) 18000

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