A middle school counselor, attempting to correlate school performance with leisure interests, found that of a group of students, 32 had seen Movie A, 29 had seen Movie B, 26 had seen Movie C, 15 had seen Movies A and B, 11 had seen Movies A and C, 9 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. A t B C... u

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 20E: What relationship subset, intersect, disjoint, or equivalent can be used to characterize the two...
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(a) How many of these students like exactly two of these composers? (b) How many of these students like exactly one of these composers? (c) How many of these students like none of these composers? (d) How many of these students like Mozart, but neither Beethoven nor Haydn? (e) How many of these students like Haydn and exactly one of the other two? (f) How many of these students like no more than two of these composers?
A middle school counselor, attempting to correlate school performance with leisure interests, found that of a group of students, 32 had seen
Movie A, 29 had seen Movie B, 26 had seen Movie C, 15 had seen Movies A and B, 11 had seen Movies A and C, 9 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
S=
t=
U=
V=
W=
▬▬▬▬▬▬
X=
y =
Z=
$
A
W
t
V
y
B
X
u
C...
Z
C
VC
CO
Transcribed Image Text:A middle school counselor, attempting to correlate school performance with leisure interests, found that of a group of students, 32 had seen Movie A, 29 had seen Movie B, 26 had seen Movie C, 15 had seen Movies A and B, 11 had seen Movies A and C, 9 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 S= t= U= V= W= ▬▬▬▬▬▬ X= y = Z= $ A W t V y B X u C... Z C VC CO
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