Carnality is a social condition of great interest to database professionals.
One-one is most common in the western world, and is often referred to by its more common name of monogamy. This describes the normal form where one male and one female mate either for life or the duration of a relationship.
One-many is less common, but still practiced in the Middle East, parts of Asia, and by the Islamic and some parts of the Mormon faith. It is usually known by its common name of pollygamy. While it could be used to describe one woman with many men, I've only heard about cases with one man with many women.
Many-many relationships are generally very short lived. This is commonly called an orgy. Generally, this is a 24 hour or less event, usually associated with great excess or hedonism.
-PatP