The administration at a state university is considering three possible areas of improvement to their residence halls: parking (P), security (S), and lounge areas (L). The 11 members of the executive committee of the Student Senate rank the choices according to the preference table shown below. Suppose that the Borda count method is used to determine the winner. Determine if the head-to-head criterion is satisfied. Number of Votes 4. 1 1 First L Second Third L. P Is the head-to-head criterion satisfied? No Yes

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The administration at a state university is considering three possible areas of improvement to their residence halls: parking (P), security (S), and lounge areas (L). The 11 members of the executive committee of the Student
Senate rank the choices according to the preference table shown below. Suppose that the Borda count method is used to determine the winner. Determine if the head-to-head criterion is satisfied.
Number of Votes
4
1
2
First
Second
L
P
L
S
Third
Is the head-to-head criterion satisfied?
O No
Yes
Transcribed Image Text:The administration at a state university is considering three possible areas of improvement to their residence halls: parking (P), security (S), and lounge areas (L). The 11 members of the executive committee of the Student Senate rank the choices according to the preference table shown below. Suppose that the Borda count method is used to determine the winner. Determine if the head-to-head criterion is satisfied. Number of Votes 4 1 2 First Second L P L S Third Is the head-to-head criterion satisfied? O No Yes
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