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A company is conducting a survey to determine which bobblehead will 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
How many different sets of choices can result from the survey?
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The general answer is as follows.
- 1 set (A) determines 2 regions.
- 2 sets (A, B) determine 4 regions.
- 3 sets (A, B, C) determine 8 regions.
- 4 sets (A, B, C, D) determine 16 regions.
Because each person in the survey must choose at least one bobblehead, there should be 16 - 1 = 15 possible sets of choices by the respondents.
Choose 1
- A
- B
- C
- D
Choose 2
- A, B
- A, C
- A, D
- B, C
- B, D
- C, D
Choose 3
- A, B, C
- A, B, D
- A, C, D
- B, C, D
Choose 4
- A, B, C, D
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A company is conducting a survey to determine which bobblehead will 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
Which set diagram should the company use to display the results? Explain.
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How many of the companies are not U.S. banking companies?
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There are only 3 U.S. banking companies in the top 100. This implies that of the top 100 companies,
are not U.S. banking companies. Do you know which three U.S. banks are in the top 100? The answer is Wells Fargo, Chase, and Bank of America.
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How many of the companies are not banking companies?
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How many of the companies are neither U.S. companies nor banking companies?
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In the top 100, there are
companies that are banking companies or U.S. companies. This implies that there are
companies in the top 100 that are neither U.S. companies nor banking companies.
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The graph shows the value of the KBW Bank Index (ticker: BKX) from 2008 to 2010. It is intended to reflect the evolving U.S. financial sector. How do you think the set diagram will change when altered to show the list from early 2009 (during the U.S. financial crisis)? early 2008 (before the U.S. financial crisis)? Explain.
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