A straight line is 36   cm long. Points are to be marked on the line from both the ends so that the first point is at a distance of 1   cm from one end, the second point is at a distance of 2   cm from the first point, the third point is at a distance of 3   cm from the second point, and so on. If the points at the ends are not counted, and the common points are counted as one, then what is the nu

Step-by-step solution

Upon analysing the distances and the points from the given question, we can form the following table: From the first end From the second end Point Distance (From 1st end) Point Distance (From 2nd end) First 1 cm First 35 cm Second 3 cm Second 33 cm Third 6 cm Third 30 cm Fourth 10 cm Fourth 26 cm Fifth 15 cm Fifth 21 cm Sixth 21 cm Sixth 15 cm Seventh 28 cm Seventh 8 cm Eighth 36 cm Eighth 0 cm The points at 0 cm and 36 cm are endpoints. Hence, these two points are excluded. The four points at 15 cm and 21 cm are c