I am not sure how to begin this one. Total outcomes would be 11!, so i was assuming with Mr and Mrs A sitting opposite 10!, but I think that is just them sitting apart. You will see what I mean.
Two couples (Mr&Mrs Band Mr&Mrs B)and 8 other people are to be
randomly seated at a round table. In how many of the possible 11! circular
arrangements will Mr and Mrs Asit directly opposite each other and (at the
same time - this is one question) Mr and Mrs Bwon’t sit next to each other.