A middle school counselor, attempting to correlate school performance with leisure interests, found that of a group of students, 34 had seen Movie A, 31 had seen Movie B, 28 had seen Movie C, 16 had seen Movies A and B, 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 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 $= t= U= V= W= X = y= Z= W t V student(s) (Simplify your answer.) B 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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