
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Question

Transcribed Image Text:QUESTION 1. ELECTION- INSTANT RUNOFF. The animals get sick and tired of having the Lion be the
King of the Jungle, and they overthrow the Lion and hold an election for President of the Jungle. The
candidates are the Zebra, the Elephant, the Baboon and the Hyena, and there are 67 voters.
The 67 preference lists fall into 6 categories, as summarized below. Using the Instant Runoff method,
show the round by round results of the election, including the vote counts in every round and the order
in which the candidates are eliminated until somebody wins a majority.
書
15
13
12
10
8
Elephant
Hyena
Zebra
Baboon
Elephant
Zebra
Baboon
Hyena
Elephant
Zebra
Baboon
Hyena
Elephant
Zebra
Нyena
Elephant
Baboon
Zebra
Baboon
Hyena
Baboon
Elephant
Hyena
Zebra
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 5 steps

Knowledge Booster
Similar questions
- In a class election with 11 students and 3 candidates, how many different vote outcomes are possible? The 3 candidates do not vote, so the vote total will be 8. Consider them to be blind ballots, so only the total count for each candidate is known.arrow_forwardDetermines who wins the plurality vote and who wins the rank voting or preferential voting method in the election. 1. There are 650 students in a school, and they all get to vote for the school president. There are 3 candidates: Rios, • Millie, • Charles. Each student will receive a ballot and they will rank the candidates in or of 1", 2nd, and 3rd choice. Remember on the preferential vote the winning candidate must have 1 more than half the votes. See the results of the election below. Votes 225 175 250 225 1¹ Millie Charles Rios 250 and a. The person who has the largest number of first place votes is b. The person who has the fewest number of first place votes is c. The candidate we eliminate is d. Fill in the new table. 1 Charles Millie Millie Rios Rios Charles 2rd Is there a majority of votes for a candidate now? If yes, who is that candidate, and how many the first place votes does that candidate have? f. Who won the plurality vote or single candidate voting method? Explain how…arrow_forwardAn election ballot asks voters to select six city commissioners from a group of twenty two candidates. In how many ways can this be done? Six city commissioners can be selected from a group of twenty two candidates in different ways.arrow_forward
- How many ways can a treasurer, vice president, and president be chosen from a group of 15 candidates?arrow_forwardQues 46, 47 and 48 are three subparts.arrow_forwardthe powerball lottery is played twice each week in 31 states, the district of columbia and the virgin islands. To play powerball, a participant must purchase a $2 ticket, selest five numbers from the digits 1 through 59, and then select a powerball number from the digits 1 through 35. To determine the winning numbers for each game, lottery officials draw 5 white balls out of a drum of 59 white balls numbered 1 through 59 and 1 red ball out of a drum of 35 red balls numbered 1 through 35. To win the powerball jackpot, a participant's numbers must match the numbers on the 5 white balls in any order and must also match the number on the red powerball. The numbers 5-16-22-23-29 with a powerball number 6 provided the record jackpot of $580 million a) How many powerball lottery outcomes are possible?( hint Consider this a two-step exsperiment. Select the 5 white ball numbers and then selectthe 1 red Powerball number) b) What is the probability that a $2 lottery ticket wins the powerball…arrow_forward
- An election has 5 candidates. How many rankings of candidates are possible.arrow_forwardHale Middle School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent. Here are the positions and the people interested in each. Position People interested Faculty member Mrs. Gray, Ms. Foster, Mr. Harris Male student Female student Abdul, Ravi, Sam, Chris Laura, Christine, Melissa, Karen Dr. Peterson, Mr. Hughes, Ms. Clark, Ms. Hernandez Based on this list, how many ways are there to fill the four committee positions? Parent Explanation Check X 5 hp Ⓒ2022 McGraw Hill LLC. All Rights Reserved Terms of Use Privacy Cearrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,

Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education

Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,

