In a tournament with five teams, each team plays against every other team exactly once. Each game is won by one of the playing teams and the winning team scores one point, while the losing team scores zero. Which of the following is NOT necessarily true?
A There are at least two teams which have at most two points each
B There are at least two teams which have at least two points each
C There are at most three teams which have at least three points each
D There are at most four teams which have at most two points each