Puzzle 22: Who Played with Whom?
Three players, A, B and C, wanted to play games of 5 minute blitz chess. Only two players can play chess at a time, so they decided that whosever wins a game, will continue to play next game against the sat out player. A draw will result in continuation of recent most player. At the end of few games C was exhausted after playing consecutive 10 games, last game against A, requested to stop the play. At the end it was found that A, B and C played a total of 15, 15 and 20 games respectively. Surprisingly, no player other than C has played more than two consecutive games. Game number 3, 6, 9 and 12, all played between A and B, were draws.
Who played game number 14? Who was it's winner?
How many games were won by B?