Solving Problems with Venn Diagrams

This video tutorial explains how to solve problems using Venn diagrams. It includes two examples: the first involves analyzing student registration in Math and English, while the second involves three courses: PE, Biology, and English. The tutorial demonstrates how to set up Venn diagrams, calculate overlaps, and answer related questions.

How many college freshmen were interviewed in the first example?

• 85

• 150

• 70

• 50

How many students were registered for both Math and English classes?

• 20

• 70

• 35

• 50

How many students were registered only for an English class?

• 35

• 70

• 50

• 20

How many students were registered for either Math or English?

• 45

• 85

• 105

• 150

How many students were not registered for either Math or English?

• 35

• 50

• 45

• 20

In the second example, how many students took all three subjects: PE, Biology, and English?

• 10

• 9

• 6

• 4

How many students took only Biology and English?

• 6

• 2

• 9

• 4

How many students took PE and English but not Biology?

• 6

• 4

• 2

• 10

How many students took none of the three subjects in the second example?

• 20

• 30

• 13

• 42

How many students took PE but not Biology or English?

• 13

• 5

• 9

• 4