n men and m women are seated at a round table with exactly n+m places. What is the probability any given man has a woman immediately to his right. Also, what is the probability that a woman has a man to either side of her? I figured from combinatorics that the number of ways of seating these people in total is (n+m-1)! but i'm not sure how to proceed from here, anyone offer some assistance,

thanks,

Jack