Introduction:
In geometry, a straight line can be defined as a set of points that extends infinitely in both directions. When two distinct straight lines are considered, the number of points they have in common can vary. Let's explore the possible scenarios and determine the correct answer to this question.

Explanation:
When two distinct straight lines are considered, there are three possible situations regarding the number of points they have in common:

1. No Common Point:
Two distinct straight lines can be parallel to each other. In this case, they do not intersect or share any common points. This situation can be visualized as two railway tracks that never meet. Therefore, the answer option 'D' (None) is incorrect.

2. One Common Point:
Two distinct straight lines can intersect at a single point. This situation can be visualized as two roads crossing each other at an intersection. The point of intersection is the only common point between the two lines. Therefore, the answer option 'A' (one) is correct.

3. Infinite Common Points:
Two distinct straight lines can coincide or overlap with each other. In this case, every point on one line is also a point on the other line. This situation can be visualized as two identical lines drawn on top of each other. Since the number of common points is infinite, the answer option 'C' (three) is incorrect.

Conclusion:
When two distinct straight lines are considered, the maximum number of points they can have in common is one. This occurs when the lines intersect at a single point. Therefore, the correct answer to this question is option 'A' (one).