A B-school has 4 clubs - Sports, Dramatics, Literary, and Quiz. 60 students joined these clubs in the first year. A person can join only one of these 4 clubs. After the first year was over, some students did not like the club they joined and hence, moved from one club to another.
Further the following information is known:
No student moved from the quiz club to the sports club.
The number of students who moved from dramatics club to the sports club is the same as the number of students who moved from the sports club to the dramatics club. The same is the case with sports club and literary club as well.
The number of students who moved out from the sports and quiz clubs are equal.
The number of students who moved to the literary club is one more than the number of persons who moved to the sports club.
At least one student moved from the sports club to literary club.
The number of students who left the quiz club for the dramatics club and the literary club is the same.
A total of 21 students shifted from one club to another.
4 students moved out of dramatics club and 5 students moved out of literary club.
The number of students who joined sports club is exactly half the number of students who left it.
The number of students who left other clubs for dramatics club is 4 more than the number of students who left other clubs for the quiz club.