Ten members of the high school cheerleading squad vote on three applicants, Jesse (J), L...

Ten members of the high school cheerleading squad vote on three applicants, Jesse (J), Lorna (L), and Carmen (C). The preferences are listed in the following table.

a. Find the winner using the plurality method.

b. Find the winner using the pairwise comparison method. Are there any applicants who are Condorcet candidates?

c. Find the winner using the Borda count method.

d. Consider the results from parts (a), (b), and (c), and identify which criterion has been violated and by which method. Justify your answer.