math challenge

Week of June 2 - 8, 1997

Switch Seats With Me?

Six people, A, B, C, D, E, and F, are sitting around a circular table.
They are sitting in consecutive order and evenly spaced, with A at the top and the others seated clockwise all the way to F.

A is directly across from D.
B is directly across from E.
C is directly across from F.

C decides she does not want to sit next to B anymore.
A decides she doesn't want to sit next to B anymore, either.
D insists that she has to sit next to C.
F wants to remain seated next to A.

The only way to change the seating is to have two people switch seats with each other. The switching process can repeat as many times as needed.

What is the quickest way to satisfy everyone's requirements? What will be the final seating arrangement?

See the solutions