
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
Eleven chairs in a row are to be occupied by six students and Professors Delta, Epsilon, Zeta, and Theta. These four professors arrive before the six students and decide to choose their chairs so that each professor will be between two students. In how many ways can Professors Delta, Epsilon, Zeta, and Theta choose their chairs?
A) 14400
B) 18900
C) 22680
D) 25200
E) 28350

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