
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
Fifteen points are selected on the positive $x$-axis, $X^+$, and six points are selected on the positive $y$-axis, $Y^+$. The segments connecting each point on $X^+$ to each point on $Y^+$ are drawn. What is the maximum possible number of points of intersection of these segments that could lie in the interior of the first quadrant?
A) 750
B) 900
C) 1200
D) 1575
E) 1800

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