
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
Eight points are selected on the positive $x$-axis, $X^+$, and six points are selected on the positive $y$-axis, $Y^+$. Segments are drawn connecting each point on $X^+$ with each point on $Y^+$, totaling $8 \times 6 = 48$ segments. What is the maximum possible number of points of intersection of these segments that could lie in the interior of the first quadrant?
A) 400
B) 420
C) 440
D) 460
E) 480

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