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