A middle school counselor, attempting to correlate school performance with leisure interests, found that of a group of students, 34 had seen Movie A, 29 had seen Movie B, 26 had seen Movie C, 17 had seen Movies A and B, 11 had seen Movies A and C, 10 had seen Movies B and C, 4 had seen all three films, and 5 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= V= W = X = y = Z= S A W V student(s) (Simplify your answer.) y с B X u Z (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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

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(c) How many students were surveyed?
student(s)
(Simplify your answer.)
Transcribed Image Text:(c) How many students were surveyed? student(s) (Simplify your answer.)
A middle school counselor, attempting to correlate school performance with leisure interests, found
that of a group of students, 34 had seen Movie A, 29 had seen Movie B, 26 had seen Movie C, 17 had
seen Movies A and B, 11 had seen Movies A and C, 10 had seen Movies B and C, 4 had seen all
three films, and 5 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=
V =
W =
X =
y =
Z=
S
A
W
V
student(s)
(Simplify your answer.)
y
с
B
X
u
Z
(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?
Transcribed Image Text:A middle school counselor, attempting to correlate school performance with leisure interests, found that of a group of students, 34 had seen Movie A, 29 had seen Movie B, 26 had seen Movie C, 17 had seen Movies A and B, 11 had seen Movies A and C, 10 had seen Movies B and C, 4 had seen all three films, and 5 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= V = W = X = y = Z= S A W V student(s) (Simplify your answer.) y с B X u Z (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?
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