classes c# and the relationships between them

If I have 3 classes:

1. Team
2. Player
3. ball

and each have a few types:

backetball team, football team, hokcey team.
basketball player, football player, hockey player.
basketball, football, hockey puck.

would i inlcuded these types as attributes in a class or would they have a class of there own and be inherited in to the above classes?

Also, im confused with the relationships. I know these facts:

1.A team needs at least one player and can have many players.
2.A player ccan onlyy have one team.
3.A player can handle a ball many times.
4.A ball can be handled by many players, but only one at a time.

I have the team to player relationship as composition.
I also have the player to ball relationship as aggregation as its options.

Is this correct or can it be done differently?

Tags: C#, Inheritance, Aggregation, Relationship