The Grade 7 PE coordinator surveyed her students to determine their preferences for after-school activities. The teacher provided four options: basketball, swimming, table tennis, and Philippine games.[br][br]Let [br]U= set of all the Grade 7 students surveyed[br]B= set of students who wanted basketball as their after school activity[br]S= set of students who wanted swimming as their after school activity[br]T= set of students who wanted table tennis as their after school activity[br]P= set of students who wanted Philippine games as their after school activity[br][br]Using the Venn diagram below, which shows the relationships of the set as well as the cardinality of each region of the Venn diagram, identify a unique set that will have the following cardinalities. (e.g. set of students who chose basketball but not swimming)[br]
[size=150]n( ______ ) = 20[/size]
[size=150]n( ______ ) = 78[/size]
[size=150]n( ______ ) = 118[/size]
[size=150]n( ______ ) = 100[/size]
[size=150]n( ______ ) = 138[/size]