Write the maximum number of points of intersection of 8 straight lines in a plane.

Question:

Write the maximum number of points of intersection of 8 straight lines in a plane.

Solution:

We know that two lines are required for one point of intersection.

$\therefore$ Number of points of intersection $={ }^{8} C_{2}=\frac{8}{2} \times \frac{7}{1}=28$

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