
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
In a modern inclusive gathering, each participant shakes hands with everyone except their spouse, and to add complexity, no handshaking occurred between men. If \(15\) married couples attended the gathering, how many handshakes occurred among these \(30\) people?
A) 78  
B) 170  
C) 210  
D) 315  
E) 340

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