2024 Fermat Problem 11

Figure 1 shows an arrangement of 3 lines with 1 intersection point, and Figure 2 shows an arrangement of 3 lines with 3 intersection points.

What is the maximum number of intersection points that can appear in an arrangement of 4 lines?

\textbf{(A)}\ 5\quad \textbf{(B)}\ 4\quad \textbf{(C)}\ 8\quad \textbf{(D)}\ 6\quad \textbf{(E)}\ 7

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.