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Chapter 6: Problem 17
How many ordered lists are there of four items chosen from six?
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The "Dogs of the Dow" refer to the stocks listed on the Dow with the highest dividend yield, are based on the following table, which shows the top ten stocks of the "Dogs of the Dow" list in January, 2009 $$ \begin{array}{|c|l|c|c|} \hline \text { Symbol } & \ {\text { {Company } }} & \text { {Price } } & \text { {Yield } } \\ \hline \text { BAC } & \text { Bank of America } & 14.08 & 9.09 \% \\ \hline \text { GE } & \text { General Electric } & 16.20 & 7.65 \% \\ \hline \text { PFE } & \text { Pfizer } & 17.71 & 7.23 \% \\\\\hline \text { DD } & \text { DuPont } & 25.30 & 6.48 \% \\\\\hline \text { AA } & \text { Alcoa } & 11.26 & 6.04 \% \\\\\hline \text { T } & \text { AT\&T } & 28.50 & 5.75 \% \\\\\hline \text { VZ } & \text { Verizon } & 33.90 & 5.43 \% \\\\\hline \text { MRK } & \text { Merck } & 30.40 & 5.00 \% \\\\\hline \text { JPM } & \text { JP Morgan Chase } & 31.53 & 4.82 \% \\\\\hline \text { KFT } & \text { Kraft } & 26.85 & 4.32 \% \\\\\hline\end{array}$$ You decide to make a small portfolio consisting of a collection of five of the top ten Dogs of the Dow. a. How many portfolios are possible? b. How many of these portfolios contain BAC and KFT but neither GE nor DD? c. How many of these portfolios contain at least four stocks with yields above \(6 \%\) ?
Rewrite in set notation: She prefers movies that are not violent, are shorter than two hours, and have neither a tragic ending nor an unexpected ending.
You sell two models of music players: the yoVaina Grandote and the yoVaina Min煤sculito, and each comes in three colors: Infraroja, Ultravioleta, and Radiografia. Let \(M\) be the set of models and let \(C\) be the set of colors. What set represents the different choices a customer can make?
Let \(S\) be the set of outcomes when two distinguishable dice are rolled, let \(E\) be the subset of outcomes in which at least one die shows an even number, and let \(F\) be the subset of outcomes in which at least one die shows an odd number. List the elements in each subset given. $$ E^{\prime} $$
Use Venn diagrams to illustrate the following identities for subsets \(A, B\), and \(\operatorname{Cof} S .\) $$ \begin{aligned} &(A \cap B) \cap C=A \cap(B \cap C)\\\ &\text { Associative Law } \end{aligned} $$
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