A Club Voted on Whether to Meet on Monday $( \mathrm { M } )$

question 22

Short Answer

A club voted on whether to meet on Monday $( \mathrm { M } )$ , Wednesday $( \mathrm { W } )$ , Friday $( \mathrm { F } )$ , or Saturday (S). The results of the election are summarized in the preference table below.

$\begin{array}{l|lccc}\text { Number of votes } & 6 & 10 & 5 & 8 \\\hline \text { First choice } & \text { F } & \text { W } & \text { M } & \text { F } \\\text { Second choice } & \text { W } & \text { F } & \text { W } & \text { S } \\\text { Third choice } & \text { M } & \text { S } & \text { F } & \text { W } \\\text { Fourth choice } & \text { S } & \text { M } & \text { S } & \text { M }\end{array}$
(a) Using the pairwise comparison voting method, determine the winner. (b) If candidate S is eliminated and the votes are recounted, does this election violate the irrelevant alternative criterion?

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Definitions:

Chromosomes

Long strands of DNA wrapped around proteins, located in the cell nucleus, which carry genetic information.

Pluripotent

The ability of a stem cell to differentiate into any type of cell in the body but not capable of forming an entire organism.

Totipotent

Cells that have the potential to differentiate into any type of cell in an organism, including the placental cells.

Differentiated

A state in which cells have developed specialized functions and characteristics, differing from their originating stem cells.