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You are in charge of scheduling the baseball games for your town’s Little League. There are...

  1. You are in charge of scheduling the baseball games for your town’s Little League. There are 11 teams in your league. Usually you play ten games in a season, but some of the coaches want to extend the season to 13 games. So every team would play 13 games (thus playing more than one game against some of the teams). How will you explain to the coaches (using graph theory) why this plan can never work? (Trying a smaller example first might be helpful.)
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