Congratulations Mehar !!!!

Its winter time and great mathematician Professor Nishtha has invited her batch-mates to celebrate this year's Christmas.....Prof. Nishtha decides to show off her Geometry skills to her friends and challenges her best friend , Mehar to answer the question...Her question is as follows :

Consider n disks $C_{1}$ , $C_{2}$ , . . . , $C_{n}$ in a plane such that for each $1 \leq i < n$ , the center of $C_{i}$ is on the circumference of $C_{i+1}$ , and the center of $C_{n}$ is on the circumference of $C_{1}$ .

Determine the maximum possible score of such an arrangement of 24 disks to be the number of pairs $(i, j)$ for which $C_{i}$ properly contains $C_{j}$ .

Mehar answers the Maximum score correctly. What is her answer? .