# 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.

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

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