New public school have a circular layout.
All classroom of the school are equally spaced apart and located along its perimeter.Each Teacher needs 4 classes in day.there is rule.the first and last class has to be in the same class room.the
other2 classes have to be at two other distinct class rooms.
Q) 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

Question

New public school have a circular layout.
All classroom of the school are equally spaced apart and located along its perimeter.Each Teacher needs 4 classes in day.there is rule.the first and last class has to be in the same class room.the
other2 classes have to be at two other distinct class rooms.
Q)  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

anonymous · Answer

3

anonymous · Answer

Bharti therefor teaches in 3 classrooms. so there would be 12+11+10+9+8+7+6+5+4+3+2+1=96 different sets. and for each set there would be   6 routes. so the number of routes are 96*6=576