Anastasia, Emma, and Greta are deciding what to do on a weekend getaway. They each suggest a first, second, and third choice and then vote on the options. Table 18.2 shows their first, second, and third choice preferences. Explain why they will have a hard time reaching a decision. Does the group prefer mountain biking to canoeing? What about canoeing compared to the beach? What about the beach compared to the original choice of mountain biking?
$$
\begin{aligned}
&\begin{array}{l|l|ll}
\hline & {\text { Anastasia }} & {\text { Emma }} & {\text { Greta }} \\
\hline \text { First Choice } & \text { Beach } & \text { Mountain biking } & \text { Canoeing } \\
\hline \text { Second Choice } & \text { Mountain biking } & \text { Canoeing } & \text { Beach } \\
\hline \text { Third Choice } & \text { Canoeing } & \text { Beach } & \text { Mountain biking } \\
\hline
\end{array}\\
&\text { TABLE } 18.2
\end{aligned}
$$