MathDB

A league with

12

teams holds a round-robin tournament, with each team playing every other team 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

<span class='latex-bold'>not</span>

a true statement about the list of

12

scores?

<span class='latex-bold'>(A) </span>\text{There must be an even number of odd scores.}

<span class='latex-bold'>(B) </span>\text{There must be an even number of even scores.}

<span class='latex-bold'>(C) </span>\text{There cannot be two scores of 0.}

<span class='latex-bold'>(D) </span>\text{The sum of the scores must be at least 100.}

<span class='latex-bold'>(E) </span>\text{The highest score must be at least 12.}

13

Problems(2)