Baseball Game Logic Puzzle
Date: 10/23/2006 at 11:24:27 From: Deidre Subject: Baseball Games One day, four baseball games were played. The teams that played in those games were the Braves, Cardinals, Cubs, Dodgers, Giants, Mets, Pirates, and Reds. May, Kay, and Ray picked the teams that they thought would be the winners of those games. The choices for each person are as follows: May: Braves, Cubs, Giants, Pirates Kay: Cubs, Dodgers, Pirates, Reds Ray: Cardinals, Giants, Pirates, Reds Determine which teams played which other teams. List the four games according to the teams that played.
Date: 10/23/2006 at 13:40:56 From: Doctor Douglas Subject: Re: Baseball Games Hi Deidre. I'll get you started. Since May's picks are all from different games, we can fill in the schedule of games as follows: Braves vs ? Cubs vs ? This table encapsulates all the Giants vs ? information we have from May. Pirates vs ? Now consider Kay's picks. We see Cubs and Pirates, but Dodgers and Reds must be teams from the right hand side of the schedule. Neither the Dodgers nor the Reds can play the Cubs or the Pirates, because Kay picked all four of these teams to win from different games. Thus, by incorporating Kay's picks, the schedule must look like either of the following: Braves vs Dodgers? Braves vs Reds? Cubs vs ? -OR- Cubs vs ? Giants vs Reds? Giants vs Dodgers? Pirates vs ? Pirates vs ? Now use Ray's picks to figure out which of these two schedules is correct, and how to complete it. I hope that this helps. Please write back if you have further questions about this. - Doctor Douglas, The Math Forum http://mathforum.org/dr.math/
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