Question

A sroup of 22 young people must decide whether to go to the beach (B), the moxantain (M), of the woo (C) on a field trip. Their preference rankings are sammarined in the takle below A group of 22 young people must decide whether to go to the beach (B), the mountain (M), or the moo ( R ) on a field trip. Their peeference rankings are summarined in the table below: Which choice wins asing plurality veting?

Answer 1

The group will have a hard time reaching a decision because the preferences of the individuals result in a voting cycle.

Step-by-step explanation:

Step-by-step explanation:

The problem is an example of a voting cycle. The group will vote for mountain biking over canoeing by 2-1. It will vote for canoeing over the beach by 2-1. If mountain biking is preferred to canoeing and canoeing is preferred to the beach, it might seem that it must be true that mountain biking is the favorite. But in a vote of the beach versus mountain biking, the beach wins by a 2-1 vote. When a voting cycle occurs, choosing a single favorite that is always preferred by a majority becomes impossible.

Analysis:

The group will have a hard time reaching a decision because the preferences of the individuals result in a voting cycle. Mountain biking is preferred to canoeing, canoeing is preferred to the beach, and the beach is preferred to mountain biking. Therefore, there is no clear majority preference.

Preferences:

1. 
   
3. Mountain biking: 2 votes
4. 
   
6. Canoeing: 1 vote
7. 
   
9. Beach: 1 vote