Overlapping Sets

Question 1

Number of Members in Either Set

Answer 1

(A or B) = #A + #B - #(A and B)

Example:
How many students play football or soccer? To solve:

–> Total #football + Total #soccer - #Both Football and Soccer

Question 2

Three Circle Venn Diagram Equations

Answer 2

Question 3

When the Number of Unique Items is Known

Answer 3

–> Total # of Unique Members = #[A only + B Only + C Only] + #[(A and B) Only + #(A and C) Only + #(B and C) Only] + #[(A and B and C)] + #[Neither A nor B nor C]

Question 4

When the Number of Unique Items is Unknown

Answer 4

–> Total # of Unique Elements = # in (Group A) + # in (Group B) + # in (Group C) - # in (Groups of Exactly Two) - 2[#in (Group of Exactly Three)] to # in (Neither)

Question 5

Venn Diagrams Intersections

Answer 5

Question 6

Venn Diagrams Intersections

Answer 6