10 Suppose that l lines are drawn through a circle and these

10. Suppose that l lines are drawn through a circle and these lines form p points of intersection (involving exactly two lines at each intersection). How many regions (r) are formed inside the circle by these lines? Assume that the lines end at the edge of the circle at 2l distinct points.

Solution

Let the race start with A and B.

(A,B)->(B,D)->(D,E)->(E,A)->(A,D)->(D,F)->(F,E)->(E,C)->(C,B)->(B,F)

=> It is possible to create such sequence.

*****not mention which question I have to do. Thats why I am doing first one.