MGF1106 Math Reasoning Venn's diagram question
A middle school counselor, attempting to correlate school performance with leisure interests, found that of a group of students, 32 had seen Movie A, 27
had seen Movie B, 24 had seen Movie C, 15 had seen Movies A and B, 11 had seen Movies A and C, 8 had seen Movies B and C, 3 had seen all three films, and 6
had seen none of the three films. Use a Venn diagram to complete parts (a) through (c) below.
Complete a Venn diagram considering the following classifications.
Complete the Venn diagram. Let A be the set of students that saw Movie A, B be the set of students that saw Movie B, and C be the set of students that saw Movie C.
Also, answer the following questions about the Venn Diagram
a) How many students had seen Movie C only?
b) How many students had seen exactly two of the films?
c) How many students were surveyed?
The following Venn Diagram is a graphical representation of the relationship between the conditions, and can help you in answering the questions.
Solved Venn Diagram for the Math Reasoning question