Six people A, B,C,D,E and F are to be seated round a circular table. How many ways are there of achieving this if A refuses to sit by B?
number of ways to seat 6 people around a table with no specific seats designated = 5!
(the routine sitting around a table problem)
treat A and B as one person, so we are seating 5
number of ways = 2*4! , could be AB or BA
number of ways you stated = 5! - 2*4! =