(A) Determine the Winner Using the Borda Method of Voting

question 16

Short Answer

$$\begin{array}{l}\text { The results of an election are summarized in the following preference table. }\\\begin{array} { l | c c c } \text { Number of votes } & 21 & 10 & 10 \\\hline \text { First choice } & \mathrm { Z } & \mathrm { X } & \mathrm { X } \\\text { Second choice } & \mathrm { X } & \mathrm { Z } & \mathrm { Y } \\\text { Third choice } & \mathrm { Y } & \mathrm { Y } & \mathrm { Z }\end{array}\end{array}$$ (a) Determine the winner using the Borda method of voting. (b) Is the winner the same as the one determined by the plurality method?

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Definitions:

Stressful Events

Situations or occurrences that cause significant stress, challenging an individual's ability to cope and possibly impacting their physical and mental health.

Illness

A state of being in poor health due to disease, injury, or other physical or mental conditions affecting the body or mind.

Control of Event

The extent to which an individual believes they have power over occurrences in their life, which can impact behavior and psychological state.

Cognitive Impairment

A reduction in cognitive abilities (such as memory, decision-making, or attention) that can result from neurological conditions, brain injury, or mental health disorders.