
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 arrive for dinner, but the circular table only seats eight. Moreover, two specific people, Alice and Bob, must sit next to each other. If two seatings such that one is a rotation of the other are considered the same, then in how many different ways can we choose eight people and seat them at the table?

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