25 Student Athletes are surveyed 15 Play Soccer 15 Play Basketball 5 Play both Basketball and Soccer How can this be? Complete a Venn Diagram

U A B d q n e f p m t o h r n u s g v C w

U A B 4 1 2 3 3 3 1 C

Match each word description to an area of the Venn Diagram ____ Likes Celine Dion and Tim McGraw, but not Britney Spears ____ Likes only Britney Spears ____ Likes Britney Spears and Tim McGraw, but not Celine Dion ____ Likes all three ____ Likes Celine Dion and Britney Spears, but not Tim McGraw ____ Likes only Tim McGraw ____ Does not like any of these three artists ____ Likes only Celine Dion

Brittney Spears Tim McGraw c b h d e g f a Celine Dion U

A group of students are questioned and the following results are produced 33 like Tim McGraw 32 like Celine Dion 28 like Britney Spears 11 like Tim and Celine 15 like Tim and Britney 14 like Celine and Britney 5 like all three performers 7 don’t like any of them Use this information to complete a Cardinal Venn Diagram

Brittney Spears Tim McGraw Celine Dion

Fill in each Venn Diagram 1. B A U

Fill in each Venn Diagram 2. B A U

Cardinal Number Formula For any two sets A and B   U A B

Fill in each Venn Diagram 3. B A C U

Fill in each Venn Diagram 4. B A C U

Find the cardinality of the indicated regions 1. 5 A B 1 6 2 U

Find the cardinality of the indicated regions 3. 5 B A 2 3 4 1 6 7 8 C U