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#[If][Si]# |
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$S = \{$#[H][c]#, #[T][s]#$\} \qquad$ |
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#[then][entonces]# |
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$S \times S = \{$(#[H][c]#, #[H][c]#), (#[H][c]#, #[T][s]#), (#[T][s]#, #[H][c]#), (#[T][s]#, #[T][s]#)$\} \qquad$ |
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| 2. |
#[If][Si]# |
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$S = \{1, 2, 3, 4, 5, 6\} \qquad$ |
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#[then][entonces]# |
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$\displaystyle S \times S = \begin{Bmatrix}
(1,1), & (1,2), & (1,3), & (1,4), & (1,5), & (1,6),
\\ (2,1), & (2,2), & (2,3), & (2,4), & (2,5), & (2,6),
\\ (3,1), & (3,2), & (3,3), & (3,4), & (3,5), & (3,6),
\\ (4,1), & (4,2), & (4,3), & (4,4), & (4,5), & (4,6),
\\ (5,1), & (5,2), & (5,3), & (5,4), & (5,5), & (5,6),
\\ (6,1), & (6,2), & (6,3), & (6,4), & (6,5), & (6,6)
\end{Bmatrix}$ |
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| 3. |
#[Choosing a motorcycle][Comprando una motocicleta]# |
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Suppose you are at the dealership buying a new motorcycle, and you are down to deciding on an engine capacity and a color. The set of of capacities you are considering is $V=\{$ 250, 350, 650, 750 $\}$ (in cc). and the set of colors available is $C = \{$ red, white, green $\}$. How can you represent the set of all motorcycle alternatives that result?
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The decision as to which motorcycle to choose can be thought of as a two-step experiment: - Choose a capacity from the set $V=\{$ 250, 350, 650, 750 $\}$.
- Choose a color from the set $C = \{$ red, white, green $\}$.
The set of outcomes is therefore |
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$\displaystyle V \times C = \begin{Bmatrix}(250, \text{red}), & (250, \text{white}), & (250, \text{green),}
\\ (350, \text{red}), & (350, \text{white}), & (350, \text{green}),
\\ (650, \text{red}), & (650, \text{white}), & (650, \text{green}),
\\ (750, \text{red}), & (750, \text{white}), & (750, \text{green})
\end{Bmatrix}$ |
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