A league with 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 points for every game it wins and point for every game it draws. Which of the following is NOT a true statement about the list of scores?
The sum of the scores must be 90.
There must be an even number of odd scores.
There cannot be two scores of 0.
The highest score must be at least 10.
The lowest score must be at most 1.
