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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?

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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(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? ?????555556;;Gff
The 63 students in a classical music lecture class were polled, with the results that 38 like Wolfgang Amadeus Mozart, 35 like Ludwig vc Beethoven, 28 like Franz Joseph Haydn, 15 like Mozart and Beethoven, 20 like Mozart and Haydn, 13 like Beethoven and Haydn, and & 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 students that like Haydn. U S= t= U= V= W= X= y= Z= NE M W y H B + ... Z
Transcribed Image Text:The 63 students in a classical music lecture class were polled, with the results that 38 like Wolfgang Amadeus Mozart, 35 like Ludwig vc Beethoven, 28 like Franz Joseph Haydn, 15 like Mozart and Beethoven, 20 like Mozart and Haydn, 13 like Beethoven and Haydn, and & 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 students that like Haydn. U S= t= U= V= W= X= y= Z= NE M W y H B + ... Z
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