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# In the diagram above, points A, B, C, D, and E represent the

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Eternal Intern
Joined: 07 Jun 2003
Posts: 463

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In the diagram above, points A, B, C, D, and E represent the [#permalink]

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25 Jul 2003, 19:23
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In the diagram above, points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. The segments connecting pairs of points indicate that the two corresponding teams have already played their game. The arrows on the segments point to the teams that lost; the lack of an arrow on a segment indicates that the game ended in a tie. After all games have been played, which of the following could NOT be the percent of games played that ended in a tie?
(A) 10%
(B) 20%
(C) 30%
(D) 40%
(E) 50%

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SVP
Joined: 03 Feb 2003
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26 Jul 2003, 05:44
the total number of games is 5C2=10. of which 7 are already played, two being ties.

3 games are left to play
variants:
0 ties --- 2/10=20%
1 tie ----3/10 = 30%
2 ties --- 4/10=40%
3 ties --- 5/10=50%

10% is left and is the answer.

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Intern
Joined: 27 Apr 2003
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30 Jul 2003, 13:10
Curly,

Great question and Stoyer ... as usual elegant ans.. where do you get these questions from curly ?
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learning verbal

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Questions   [#permalink] 30 Jul 2003, 13:10
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