A middle school counselor, attempting to correlate school performance with leisure interests, found that of a group of students, 38 had seen Movie A, 29 had seen Movie B, 27 had seen Movie C, 18 had seen Movies A and B, 14 had seen Movies A and C, 10 had seen Movies B and C, 5 had seen all three films, and 4 had seen none of the three films. Use a Venn diagram to complete parts (a) through (c) below. 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. U S= t= U= y= W= X= y= Z= A w y с B student(s) (Simplify your answer.) x u (a) How many students had seen Movie C only? student(s) (Simplify your answer.) (b) How many students had seen exactly two of the films? student(s) (Simplify your answer.) (c) How many students were surveyed? Z

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