Chapter 13, Lesson 3

Depending on the number of sets and their relation to each other, a Venn diagram depicts a universe divided into different numbers of regions.

 
a. Draw a Venn diagram that contains three intersecting sets and tell the number of regions into which the universe is divided.
b. Draw a Venn diagram that contains four intersecting sets and tell the number of regions into which the universe is divided. (Hint: Use oval shapes for the sets.)
c. Write a rule to find the number of regions into which a universe is divided when a Venn diagram contains n intersecting sets.