A coach of a baseball team looked over his roster at the beginning of spring training. He noticed some things: Every outfielder is a switch hitter. Half of all infielders are switch hitters. Half of all

A coach of a baseball team looked over his roster at the beginning of spring training. He noticed some things: Every outfielder is a switch hitter. Half of all infielders are switch hitters. Half of all switch hitters are outfielders. There are 14 infielders and 8 outfielders. No infielder is an outfielder. How many switch hitters are neither outfielders nor infielders

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