A league with 12 teams holds a round-robin tournament, with each team playing every other team exactly once. Games either end with one team victorious or else end in a draw. A team scores 2 points for every game it wins and 1 point for every game it draws. Which of the following is not a true statement about the list of 12 scores?
Answer Choices
A. There must be an even number of odd scores.
B. There must be an even number of even scores.
C. There cannot be two scores of 0 .
D. The sum of the scores must be at least 100 .
E. The highest score must be at least 12