Discrete Mathematics for Computer Science

(Romina) #1
Exercises 43

How many fast food outlets are there near campus?


  1. At the beginning of the semester, an instructor of a music appreciation class wants to
    find out how many of the 250 students had heard recordings of the music of Mozart,
    Beethoven, Haydn, or Bach. The survey showed the following:


Composer Listened to by Students No. of Students
Mozart 125
Beethoven 78
Haydn 95
Bach 62
Mozart and Beethoven 65
Mozart and Haydn 50
Mozart and Bach 48
Beethoven and Haydn 49
Beethoven and Bach 39
Haydn and Bach 37
Mozart, Beethoven, and Haydn 22
Mozart, Beethoven, and Bach 19
Mozart, Haydn, and Bach^18
Beethoven, Haydn, and Bach 13
Mozart, Beethoven, Haydn, and Bach 9

How many students had listened to none of the composers?


  1. A marketing class did a sample survey to find out how many of a class of 125 people
    owned CDs of the Beatles, Alabama, or Bob Marley. The results of the survey showed
    the following:


Recording Artist No. of Students Owning CDs
Beatles 65
Alabama^46
Bob Marley 29
Beatles and Alabama 18
Beatles and Bob Marley 21
Bob Marley and Alabama 12
Beatles, Bob Marley, and Alabama 9

How many of the students owned no CD featuring these performers?
Free download pdf