Student Enrollment in Subjects Analysis

This video tutorial explains how to solve problems using Venn diagrams. It covers 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. It emphasizes working backwards from given data to fill in the diagrams and solve problems effectively.

What is the universal set in the first example?

• Students registered for math

• 150 college freshmen

• All college students

• Students registered for English

How many students were registered for both math and English?

• 85

• 70

• 50

• 35

How many students signed up only for a math class?

• 45

• 50

• 35

• 20

How many students signed up for neither math nor English?

• 50

• 45

• 35

• 20

In the second example, how many students took all three subjects?

• 4

• 6

• 10

• 9

How many students took only Biology and English?

• 9

• 4

• 2

• 6

How many students took PE but not Biology or English?

• 5

• 9

• 13

• 20

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

• 20

• 15

• 10

• 25

How many students took Biology and PE but not English?

• 4

• 6

• 2

• 5

How many students took only English in the second example?

• 50

• 42

• 20

• 30