At GordonVille High School, there are $192$ students in $10$ th grade. $111$ of them play on a sports team $($set A$),101$ of them play in the band $($set B$),$ and $30$ do both. a$.$ What is the cardinality of Region I $?$ b$.$ What is the cardinality of Region $II?$ c$.$ What is the cardinality of Region III $?$ d$.$ What is the cardinality of Region IV$?$ e$.$ How many students play on a sports team or play in the band? At GordonVille High School, there are $192$ students in $10$ th grade. $111$ of them play on a sports team $($set A$),101$ of them play in the band $($set B$),$ and $30$ do both. a$.$ What is the cardinality of Region I $?$ b$.$ What is the cardinality of Region $II?$ c$.$ What is the cardinality of Region III $?$ d$.$ What is the cardinality