New public school have a circular layout.the school has teachers specializing in various subjects All classroom of the school are equally spaced apart and located along its perimeter.Each Teacher needs four classes in day.there is strange rule.the first and last class has to be in the same class room.the other two classes have to be at two other distinct class rooms.
Answer the following
a:) Bharti is a history teacher.in addition to above rule of the school she teaches exactly one pair of successive classes in adjacent classrooms.how many distinct trips to classes rooms are possible for Bharti if there are 12 classroom in school.
1;) 120
2:) 96
3:) 576
4:) 496
b:) Ram is a Math Teacher.he never teaches two successive classes in adjacent classrooms.how many distinct trip to classroom are possible for ram if there are 9 classroom in the school.
1:) 72
2:) 324
3:) 30
4:) 180
