The 61 students in a classical music lecture class were polled, with the results that 35 like Wolfgang Amadeus Mozart, 34 like Ludwig von Beethoven, 30 like Franz Joseph Haydn, 13 like Mozart and Beethoven, 21 like Mozart and Haydn, 13 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. M B (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)

The 61 students in a classical music lecture class were polled, with the results that 35 like Wolfgang Amadeus Mozart, 34 like Ludwig von Beethoven, 30 like Franz Joseph Haydn, 13 like Mozart and Beethoven, 21 like Mozart and Haydn, 13 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. M B (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)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 21E: In Exercises 20-22, Suppose and are positive integers, is a set with elements, and is a set...

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