
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 chairs in a row are to be occupied by six students and Professors Delta, Epsilon, and Zeta. The three professors arrive before the six students and decide to choose their chairs so that each professor will be positioned between two students and no two professors can sit next to each other. In how many ways can Professors Delta, Epsilon, and Zeta choose their chairs?
A) 18  
B) 24  
C) 30  
D) 36  
E) 42

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