There have been two no hitters pitched in the MLB playoffs:
Don Larsen's perfect game in game 5 of the 1956 World Series; And Roy Halladay's No Hitter (28 batters) on October, 6th 2010 in game one of the NLDS.
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Two no-hitters have been pitched in the College World series, or CWS.
As of the 2014 season, the Atlanta Braves have 4 switch hitters.
As of the 2014 season, the Houston Astros have 5 switch hitters.
As of the 2014 season, the Philadelphia Phillies have 6 switch hitters.
As of the 2014 season, the Washington Nationals have 4 switch hitters.
As of the 2014 season, the Cincinnati Reds have 4 switch hitters.
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12 no hitters have been pitched at Fenway Park, 8 by Red Sox pitchers.