
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
At a social gathering of 36 people, there are 25 who all know each other. Within these 25, a subgroup of 15 also know an additional 6 people outside their group. The remaining 5 people do not know anyone at the gathering. How many handshakes occur?
A) 190
B) 220
C) 245
D) 270
E) 290

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