The nineteen members of an Examination Board are trying to decide which of four stu- dents, A, B, C and D, should be awarded the prize for the best overall performance. The following table gives the resulting preference lists, L, together with the number of members of the Examination Board, N, choosing the corresponding list. L N ADCB 3 BADC 4 BCAD 2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The nineteen members of an Examination Board are trying to decide which of four stu-
dents, A, B, C and D, should be awarded the prize for the best overall performance.
The following table gives the resulting preference lists, L, together with the number of
members of the Examination Board, N, choosing the corresponding list.
L
N
ADCB 3
BADC 4
BCAD 2
CADB 5
DACB 2
DCAB 1
DCBA 2
(a) Determine which student is awarded the prize if plurality is used to decide the re-
sult.
(b) Determine which student is awarded the prize if the Borda count is used to decide
the result.
(c) Determine which student is awarded the prize if the Hare system is used to decide
the result.
Transcribed Image Text:The nineteen members of an Examination Board are trying to decide which of four stu- dents, A, B, C and D, should be awarded the prize for the best overall performance. The following table gives the resulting preference lists, L, together with the number of members of the Examination Board, N, choosing the corresponding list. L N ADCB 3 BADC 4 BCAD 2 CADB 5 DACB 2 DCAB 1 DCBA 2 (a) Determine which student is awarded the prize if plurality is used to decide the re- sult. (b) Determine which student is awarded the prize if the Borda count is used to decide the result. (c) Determine which student is awarded the prize if the Hare system is used to decide the result.
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