Activity 5.1 Cardinality of Sets
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.
Let
U= set of all the Grade 7 students surveyed
B= set of students who wanted basketball as their after school activity
S= set of students who wanted swimming as their after school activity
T= set of students who wanted table tennis as their after school activity
P= set of students who wanted Philippine games as their after school activity
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)
n( ______ ) = 20
n( ______ ) = 78
n( ______ ) = 118
n( ______ ) = 100
n( ______ ) = 138