The 68 students in a classical music lecture class were polled, with the results that 36 like Wolfgang Amadeus Mozart, 38 like Ludwig von Beethoven, 32 like Franz Joseph Haydn, 14 like Mozart and Beethoven, 20 like Mozart and Haydn, 15 like Beethoven and Haydn, and 8 like all three composers. Use a Venn diagram to complete parts (a) through (f) below. Complete the Venn diagram. Let M be the set of students that like Mozart, B be the set of students that like Beethoven, and H be the set of students that like Haydn. U S= t= u= V= W= X = y= S M W t y H B X u Z
The 68 students in a classical music lecture class were polled, with the results that 36 like Wolfgang Amadeus Mozart, 38 like Ludwig von Beethoven, 32 like Franz Joseph Haydn, 14 like Mozart and Beethoven, 20 like Mozart and Haydn, 15 like Beethoven and Haydn, and 8 like all three composers. Use a Venn diagram to complete parts (a) through (f) below. Complete the Venn diagram. Let M be the set of students that like Mozart, B be the set of students that like Beethoven, and H be the set of students that like Haydn. U S= t= u= V= W= X = y= S M W t y H B X u Z
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:The 68 students in a classical music lecture class were polled, with the results that 36 like Wolfgang
Amadeus Mozart, 38 like Ludwig von Beethoven, 32 like Franz Joseph Haydn, 14 like Mozart and Beethoven, 20
like Mozart and Haydn, 15 like Beethoven and Haydn, and 8 like all three composers. Use a Venn diagram to
complete parts (a) through (f) below.
Complete the Venn diagram. Let M be the set of students that like Mozart, B be the set of students that
like Beethoven, and H be the set of students that like Haydn.
U
S=
t=
u=
V=
W =
X =
y =
Z=
S
M
W
y
H
B
X
u
Z
Transcribed Image Text:(a) How many of these students like exactly two of these composers?
student(s)
(Simplify your answer.)
(b) How many of these students like exactly one of these composers?
student(s)
(Simplify your answer.)
(c) How many of these students like none of these composers?
student(s)
(Simplify your answer.)
(d) How many of these students like Mozart, but neither Beethoven nor Haydn?
student(s)
(Simplify your answer.)
(e) How many of these students like Haydn and exactly one of the other two?
student(s)
(Simplify your answer.)
(f) How many of these students like no more than two of these composers?
student(s)
(Simplify your answer.)
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