If 107 votes are cast, what is the smallest number of votes a winning candidate can have in a four-candidate race that is to be decided by plurality?

Q: In an election there are four candidates and 80 voters:  a. What is the maximum number of points…

A: Use the following conditions, to obtain the solution. Let m and n denote the number of voters and…

Q: There are 6 men and 7 women in a ballroom dancing classes.If 4 men and 4 women are choosen and…

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Q: From 30 interested people, how many ways to register 5 teams of 4 for a contest (the remaining 10 do…

A: Given: 30 people 5 teams of 4 10 do not participate.

Q: If there are 9 candidates in an election, how many pairwise comparisons need to be made in order to…

A: So first we will do 4 comparisons and eliminate 4 candidates. Then we will left with 5 candidates.…

Q: A person committee is deciding to add a player to the hall of fame. One fifth voted in favor, one…

A: we have to solve the problem

Q: In a random sample of 100 scholars, 47 scholars selected King for Vice President . If the total…

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Q: From a pool of 300 candidates the office of president, Vice President, secretary, and treasurer will…

A: Given that,Total number of candidates = 300Total number of required candidates = 4

Q: There are 4 Biomedical Engineering and 4 Electronics Engineering students running for a student club…

A: We jave to find combinations possible.

Q: There are 6 members on a board of directors. If they must elect a chair person, a secretary, and a…

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Q: board of directors composed of 8 people, how many ways can 1 chief executive officer, 1director, and…

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Q: Suppose that the pairwise comparison method is used to determine the winner in an election.  If…

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Q: There are 6 Republican, 5 Democrat, and 4 lndependent candidates. How many different ways can a…

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Q: Suppose that the pairwise comparison method is used to determine the winner in an election. If there…

A: Given that comparison method is used to determine the winner in an election. If there are 14…

Q: A school principal plans to form teams from 132 third‐graders, 120 fourth‐graders, and 156…

A: Remark:The greatest common division (GCD)of two numbers p,q is the greatest positiveinteger a such…

Q: Consider an election with 589 votes a) If there are 6 candidates, what is the smallest number of…

A: Plurality is the method that used prior to the election results. It is used to understand the winner…

Q: Consider an election with 409 votes a) If there are 6 candidates, what is the smallest number of…

A: Election results are calculated prior by polling the election among the people. There are many…

Q: There are 10 members on a board of directors. If they must elect a chairperson, a secretary, and a…

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Q: a licensure examinations, an examinee may select 7 problems from a set of 10 questions. In how many…

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Q: In an election, there are 3 candidates for governor, 4 candidates for senator, and 5 candidates for…

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Q: How many committees of five can be selected from eight men and seven women if the committees contain…

A: Number of men = 8  Number of women = 7  Total number of men and women = 15

Q: Consider an election with 301 voters cast for 3 candidates. What is the smallest number of…

A: Winner of the election can be decided using various methods. Plurality is the method used in…

Q: In a club with 8 members, how many ways can a slate of 3 officers consisting of president,…

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Q: In a group of 9 people, there are 4 females and 5 males. Determine the number of 4-member committees…

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Q: a

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Q: There are six men and seven women in a ballroom dancing class. If four men and four women are chosen…

A: given  There are six men and seven women in a ballroom dancing class. If four men and four women are…

Q: Select the voting system where exactly 3 voters have veto power.

A: Given: a. 31:17, 15, 13, 11, 4, 3b. 36:32, 7, 7, 3, 3, 2c. 42: 16, 14, 13, 2, 1,1d.…

Q: The Math Club consists of 15 members. Four of them will represent the school in a math competition…

A: Given that: No of members in math club = 15 No of selected member in competition = 4

Q: Suppose that Kim is the philanthropy chair of her sorority, and she wants to choose a committee of…

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Q: there are 6 different position in a food chain company to be filled from 12 aspiring applicants. The…

A: Total number of positions/vacancies = 6Total number of applicants = 12Ways of filling 1st position…

Q: A group of five people would like to select two people among themselves and send them to a…

A: It is given that n=5 and r=2.

Q: If there are 7 players who are voting in a weighted system, how many sequential coalitions exist?…

A: Given data n=7

Q: What is the maximum number of points that a candidate can earn in an election using the Borda count…

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Q: The number of ways can select a cricket team of 11 players out of 14 players is_

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Q: There are 6 members on a board of directors. If they must elect a​ chairperson, a​ secretary, and a​…

A: Given data6 membersChairperson, Secretary and treasurer must be electedNo of candidates possible are…

Q: A computer company has 5 vaccines in its executive trainee program. The company must select the…

A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…

Q: From 50 attendees of a party, 3 major prizes will be given away. If each attendee can only win once,…

A: Given Data: n=50   number of prizes=3

Q: There are 4 Biomedical Engineering and 4 Electronics Engineering students running for a student club…

A: Given: Number of Biomedical Engineering is, n(B)=4. Number of Electronics Engineering is, n(E)=4.…

Q: A new employee has a choice of 5 health care plans, 3 retirement plans, and 2 different expense…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: In an election with 7 candidates, how many pairwise comparisons would need to be made in the Method…

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Q: a) If there are 5 candidates, what is the smallest number of first-place votes a candidate could win…

A: a) total 541 votes  Number of candidates is 5 Dividing 541 by 5 gives quotient = 108 and remainder =…

Q: The newly elected president needs to decide the remaining 5 spots available in the cabinet he/she is…

A: Given data; The number of spots available  in cabinet he/she is appointing(x) = 5 The eligible…

Q: In a blended party where 76 attendees are onsite and 35 attendees are online via zoom, a grand prize…

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Q: Consider an election with 241 votes a) If there are 4 candidates, what is the smallest number of…

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Q: In a three candidate race that is decided using the plurality method what is the fewest votes that…

A: Given that there are only 40 votes to cast and there are 3 candidates.  We are asked to find the…

Q: If there are three candidates for governor and five for mayor, in how many ways can the two offices…

A: We have given that  Candidates for governor = 3 Candidates for mayor = 5 Total candidates = 8

Q: In 2012 American Idol completed its 11th season withJennifer Lopez, Steven Tyler, and Randy Jackson…

A: E) All of the above

Q: In a class election with 11 students and 3 candidates, how many different vote outcomes are…

A: Given In a class election with 11 students and 3 candidates, the 3 candidates do not vote, so the…

Q: In a beauty contest, there are 5 semifinalist from which 3 winners will be chosen. How many ways can…

A: Combinations :   Crn = n!r! (n-r)! We say that there are Crn combinations of size r that may be…