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3.1 Sets & Set Diagrams 111

Extending ConceptsBobbleheads In Exercises 23 and 24, a company is conducting a survey to determine which bobblehead would generate the most sales. Participants must choose at least one bobblehead from the following list.

A. Albert Pujols B. Drew Brees C. LeBron James D. Phil Mickelson

23. How many different sets of choices can result from the survey?

24. Which set diagram should the company use to display the results? Explain.

A

B

C

D

A B

D C

U.S. Banking Companies In Exercises 25–28, use the set diagram.

25. How many of the companies are not U.S. banking companies?

26. How many of the companies are not banking companies?

27. How many of the companies are neither U.S. companies nor banking companies?

28. The graph shows the value of the KBW Bank Index (ticker: BKX) from 2008 to 2010. It is intended to refl ect the evolving U.S. fi nancial sector. How do you think the set diagram above will change when altered to show the list from early 2009 (during the U.S. fi nancial crisis)? early 2008 (before the U.S. fi nancial crisis)? Explain.

2008 Apr Jul Oct Apr Jul Oct Apr Jul Oct0

10

20

30

40

50

60

70

80

90

100

KBW Bank Index (2008–2010)

Year

Val

ue

2009 2010 2011

The fi rst modern bobbleheads were introduced in the 1950s and were popularized with the help of Major League Baseball.

3

26

Bankingcompanies

U.S.companies

24

Forbes top 100 globalcompany rankings, 2010

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