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Use the following information to answer the Questions
Suppose that 17 voters have ideal points as given in the following table.  Ideal points 0123456 Number of  voters 1235321\begin{array} { | l | c | c | c | c | c | c | c | } \hline \text { Ideal points } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \begin{array} { l } \text { Number of } \\\text { voters }\end{array} & 1 & 2 & 3 & 5 & 3 & 2 & 1 \\\hline\end{array} Candidate A announces a policy position of 1 and Candidate B announces a policy position of 5.
-Suppose that a voter is added with ideal points of 3. Is there a 2/3-separation opportunity for a third Candidate C to enter the race?


Definitions:

Complementary Medicine

A range of healthcare practices not typically part of conventional medical treatment, used alongside standard care.

Acupuncture

A form of alternative medicine and a key component of traditional Chinese medicine involving the insertion of thin needles into the body at specific points to alleviate pain and treat various health conditions.

Homeopathy

A system of alternative medicine based on the principle that like cures like, where diseases are treated with minute doses of natural substances that in larger amounts would produce symptoms of the disease.

Herbalism

The practice of using herbs and plants for medicinal or therapeutic purposes, often part of traditional or alternative medicine systems.

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