
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
Twenty points are selected on the positive $x$-axis, $X^+$, and ten points are selected on the positive $y$-axis, $Y^+$. The two hundred segments connecting the twenty points on $X^+$ to the ten points on $Y^+$ are drawn. What is the maximum possible number of points of intersection of these two hundred segments that could lie in the interior of the first quadrant?
A) 1900
B) 8550
C) 17100
D) 250

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