Members of the board of directors of the American Nursing Association are voting to select a city to host the association’s annual meeting. The board is considering the following cities: Portland (P), Orlando (O), and New Orleans (N). The preference table for the 19 members of the board of directors is shown below. Show that the Borda count method violates the majority criterion.

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Number of Votes 10 5 . 4 First N N Second P Third P O P