
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,$Y^+$. Every point on $X^+$ is connected by a segment to every point on $Y^+$, resulting in a total of $8 \times 6 = 48$ segments. What is the maximum number of intersection points that can be formed by these segments within the interior of the first quadrant?
A) 200
B) 336
C) 420
D) 500
E) 560

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