Mathematics - Permutation & Combination Question with Solution | TestHub

Given distinct lines ${\mathrm{L}}_1,{\mathrm{L}}_2,\dots .,{\mathrm{L}}_{1000}$ in which all lines of the form of ${\mathrm{L}}_{4\mathrm{n}}$ where n is the positive integer are parallel to each other. All lines ${\mathrm{L}}_{4\mathrm{n}-3}$ are concurrent at a point. The maximum number of the points of intersection of pairs of line from the complete set $\left({\mathrm{L}}_1,{\mathrm{L}}_2,\dots \dots {\mathrm{L}}_{1000}\right)$ is