Why not inherit from List?

Question

When planning out my programs, I often start with a chain of thought like so:

A football team is just a list of football players. Therefore, I should

Answer 1

A football team is not a list of football players. A football team is composed of a list of football players!

This is logically wrong:

class FootballTeam : List 
{ 
    public string TeamName; 
    public int RunningTotal 
}

and this is correct:

class FootballTeam 
{ 
    public List players
    public string TeamName; 
    public int RunningTotal 
}