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 ofmembers of the Examination Board, N, choosing the corresponding list.LNADCB 3BADC 4BCAD 2CADB 5DACB 2DCAB 1DCBA 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 decidethe result.(c) Determine which student is awarded the prize if the Hare system is used to decidethe result.

Make a table of preference as follows First Second Third Fourth Number of votes A D C B 3 B…

Answered: The nineteen members of an Examination…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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6
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110 voters are asked to rank four brands of cereal: A, B, C, and D. The votes are summarized in the preference table shown below. Determine the winner using the plurality-with-elimination method. Number of Votes First Choice Second Choice Third Choice Fourth Choice 42 35 20 13 В A A B A A В В D O o o C
Determine where a family would go on vacation, if the choices are Bermuda, Mexico, and Canada, based on first preference only and using Borda Count. BMC 94, BCM 61, CMB 87, CBM 72, MBC 79, MCB 74.
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7)
Ten voters are asked to rank 4 brands of cell phones: A, B, C, and D. The ten voters turn in the following ballots showing their preferences in order A B B BA B B B BA AB BCA C с DACA CD D D D D D C D D Second Which of the following preference tables correctly shows the results of the voting? Select one: O a. Number of Votes 2 2 First A B Third Fourth A C в BACA CCAD D Second O b. Number of Votes 2 2 First A B A Third D C 1 B A D C 1 B A D A 1 B с D A B C Fourth D D C O c. None of these is correct. d. Number of Votes 2 2 First D 2 A 2 C C 2 3 B C A D 3 B с A D 3 B D с C
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First	Second	Third	Fourth	Number of votes
A	D	C	B	3
B	A	D	C	4
B	C	A	D	2
C	A	D	B	5
D	A	C	B	2
D	C	A	B	1
D	C	B	A	2