Let $$\begin{aligned}
N & = \{ \text { small, medium, large } \} \
A & = \{ \text { hexagon, triangle } \}
\end{aligned}$$
List the elements of $N \times A$ as ordered pairs in a set notation.

A) $\text { (small, hexagon) }$ , $\text { (medium, triangle) }$ , $\text { (large, triangle) }$ , $\text { (small, medium) }$ , $\text { (medium, large) }$ , $\text { (hexagon, triangle) }$
B) $\text { (small, hexagon) }$ , $\text { (medium, hexagon) }$ , $\text { (large, hexagon) }$ , $\text { (small, triangle) }$ , $\text { (medium, triangle) }$ , $\text { (large, triangle) }$
C) $\text { (small, hexagon) }$ , $\text { (medium, triangle) }$ , $\text { (small, large) }$ , $\text { (small, medium) }$ , $\text { (medium, large) }$ , $\text { (hexagon, triangle) }$
D) $\text { (small, medium) }$ , $\text { (medium, large) }$ , $\text { (small, large) }$ , $\text { (hexagon, triangle) }$
E) $\text { (small, hexagon) }$ , $\text { (medium, hexagon) }$ , $\text { (large, hexagon) }$ , $\text { (small, triangle) }$ , $\text { (medium, triangle) }$ , $\text { (hexagon, triangle) }$

Question

Let  $$\begin{aligned}
N & = \{ \text { small, medium, large } \} \
A & = \{ \text { hexagon, triangle } \}
\end{aligned}$$ 
List the elements of $N \times A$ as ordered pairs in a set notation.
 
A) $\text { (small, hexagon) }$ , $\text { (medium, triangle) }$ , $\text { (large, triangle) }$ , $\text { (small, medium) }$ , $\text { (medium, large) }$ , $\text { (hexagon, triangle) }$
B) $\text { (small, hexagon) }$ , $\text { (medium, hexagon) }$ , $\text { (large, hexagon) }$ , $\text { (small, triangle) }$ , $\text { (medium, triangle) }$ , $\text { (large, triangle) }$
C) $\text { (small, hexagon) }$ , $\text { (medium, triangle) }$ , $\text { (small, large) }$ , $\text { (small, medium) }$ , $\text { (medium, large) }$ , $\text { (hexagon, triangle) }$
D) $\text { (small, medium) }$ , $\text { (medium, large) }$ , $\text { (small, large) }$ , $\text { (hexagon, triangle) }$
E) $\text { (small, hexagon) }$ , $\text { (medium, hexagon) }$ , $\text { (large, hexagon) }$ , $\text { (small, triangle) }$ , $\text { (medium, triangle) }$ , $\text { (hexagon, triangle) }$

Quizplus · Accepted Answer

The Cartesian product $N \times A$ consists of all possible ordered pairs where the first element is from set $N$ and the second element is from set $A$, resulting in 3 sizes each paired with 2 shapes, for a total of 6 pairs.

Let N={ small, medium, large }A={ hexagon, triangle }\begin{aligned}N & = \{ \text { small, medium, large } \} \\A & = \{ \text { hexagon, triangle } \}\end{aligned}NA​={ small, medium, large }={ hexagon, triangle }​

Let $\begin{aligned}N & = \{ \text { small, medium, large } \} \\A & = \{ \text { hexagon, triangle } \}\end{aligned}$