MATH 120 - Quiz 4 (2.4-2.5)

In a survey of 225 people, 47 reported they liked drinking beer, 42 said they liked drinking wine, and 49 said they liked whiskey. 14 said they liked both beer and wine, 14 liked both beer and whiskey, and 18 said they liked wine and whiskey. 2 said they liked drinking all three. How many preferred drinking only beer?

21

A-One Talent Agency has 109 clients. 46 of the clients play piano and 58 of the clients play guitar. 17 clients play both the piano and the guitar. How many of the clients do not play either instrument?

22

Mrs. Johnson asked all the students in her class if they had at least one cat or dog. The results are shown in the following Venn diagram. Cat and Dog Venn Diagram 16 (outside Neither) Cats - 14 Cats & dogs - 8 Dogs - 23 How many students do not have dogs?

30

A group of elementary school students were asked if they had eaten cake, pie or ice cream over the weekend. The Venn diagram below shows the number of students who belong to each region. 3 circle ven diagram - Cake - 31 Pie - 22 Ice cream - 13 Cake & Ice cream - 1 Cake & Pie - 5 Pie & Ice cream Cake, Pie, & Ice cream - 6 None - 21 How many students ate pie or ice cream over the weekend?

49

Of the 34 students in Mr. Duke's class, 13 are male and 23 are right-handed. If there are 5 left-handed female students in the class, how many right-handed males are in the class?

7 (This problem is solved using a 2-circle Venn Diagram. One of the circles will be a "Male" circle and the other will be a "Right-handed" circle. Begin by putting the left-handed females into Region IV, and continue from there. This is similar to Exercise 4 in Section 2.5.)

Which of the set notation statements listed below describes the shaded region in the following Venn diagram? 3 Circle diagram - outside, B, BC, C, ABC, shaded A. A' ∪ (B ∩ C) B. B' ∪ (A ∩ C) C. A' ∪ (B ∩ C) D. B' ∪ (A ∩ C) E. None of the above

A. A' ∪ (B ∩ C)

Identify the Venn Diagram that corresponds to the set A' ∪ B A. Two Set Venn image - circle a shaded B. Two Set Venn image - circle b shaded C. Two Set Venn image - circle a shaded, circle ab shaded, outside shaded D. Two Set Venn image - circle b shaded, circle ab shaded, outside shaded

D. Two Set Venn image - circle b shaded, circle ab shaded, outside shaded

Which of the set notation statements listed below describes the shaded region in the following Venn Diagram? 3 Circle diagram - A,B,C AB, ABC, BC shaded A. A ∪ B ∩ C B. A ∪ C ∩ B C. B ∪ C ∩ A D. None of the above

B. A ∪ C ∩ B

The Venn diagram below represents all students taking classes at a local college. The Math circle represents students currently taking MATH 120, the English circle represents students taking ENG 101, and the History circle represents students taking HIST 217. 3 circle ven diagram Math - I Math & English - II English - III Math & History - IV Math, History, & English - V English & History - VI History -VII Identify the regions corresponding to the set of all students taking HIST 217 or ENG 101. Select all that apply. A. I B. II C. III D. IV E. V F. VI G. VII H. VIII

B. II C. III D. IV E. V F. VI G. VII

Identify the Venn Diagram that corresponds to the set A ∪ B' A. Two Set Venn image - circle a shaded B. Two Set Venn image - circle b shaded C. Two Set Venn image - circle a shaded, circle ab shaded, outside shaded D. Two Set Venn image - circle b shaded, circle ab shaded, outside shaded

C. Two Set Venn image - circle a shaded, circle ab shaded, outside shaded