If there are 9 candidates in an election, how many pairwise comparisons need to be made in order to determine a winner?

Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

A:

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

A:

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: 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…

A:

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…

A:

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: A book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made…

A: From the provided information, A book club offers a choice of 5 novels from a list of 10.

Q: If there are 9 acts in the talent show, how many different orders of performance are possible if…

A: Given that there are 9 acts in the talent show to perform.

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

A:

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: in a volleyball club there are 5 senior players and 5 junior players. If the team captain election…

A: Total number of players = 10 Total number of players in volleyball team = 6   Number of ways in…

Q: Before doing the ordering for a company barbecue, the manager took a poll to find out how many…

A: Given people who eat corn = 39 people who eat ribs = 57 people who eat hamburgers = 65 people who…

Q: In a group election the top 3 are given position. If there were 8 candidates how many possible…

A: The positions are different President can be picked in 8 ways. Vice president can be picked in…

Q: A musician plans to perform 9 selections. In how many ways can she arrange the musical selections?

A: Given A musician plans to perform 9 selections

Q: A paper bag contains three green,four brown and five yellow beads. To win a game, Zoe needs to draw…

A: Given, a paper bag contains 3 green, 4 brown and 5 yellow beads. so we have a total of 12 beads…

Q: Out of the 12 people applying for a scholarship, a) how many ways can we select a group of five to…

A: N : number of students = 12 a) To select 5 people. = (12),(11),(10),(9),(8)  are the choices for…

Q: How many ordered lists are there of two items chosen from twelve?

A:

Q: Find the number of ways in which nine contestants can be ranked first, second, third, fourth and…

A:

Q: If 107 votes are cast, what is the smallest number of votes a winning candidate can have in a…

A:

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: Before the election, you want to determine the number of possible president/vice-president…

A: Solution

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: 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: At a raffle promo of 200 people, 5 will be chosen to receive the major prizes. Assuming these prizes…

A: The arrangement of data in an orderly way, they can be represented using two ways. They are…

Q: If 20 women are entered in the Miss Georgia contest, in how many different ways can the judges…

A: Given that 20 women are entered in the Miss Georgia contest.

Q: Suppose you are asked to list, in order, the three best movies you have seen this year. If you saw…

A: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

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…

A:

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

A:

Q: The St. Louis Fighting Octogenarians is a local baseball team which currently has nineteen members.…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set…

Q: A committee of 8 people randomly chooses 3 people in order to be president, vice president, and…

A: Total person = 8 to chosen = 3 Order = considered

Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: In a horse race, how many different finishes among the first 3 places are possible if 18 horses are…

A: here given, Total 18 horse running we need different finish among top 3 . so here order is imporant.…

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…

A:

Q: An election ballot asks voters to select 2 city commissioners from a group of 6 candidates. In how…

A: An election ballot asks voters to select 2 city commissioners from a group of 6 candidates. I Total…

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

Q: How many ways are there to select 3 candidates from 8 equally qualified recent graduates for…

A: Given that, there are 8 equally qualified recent graduates for openings in an accounting firm. i.e,…

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

A:

Q: A committee of 6 men and 4 women is to be chosen from a group of 14 men and 11 women. Determine the…

A: 2) Solution: Given information: 14 Men  and 11  women    A committee of 6 men and 4 women is to be…

Q: In a group of 10 boys and 15 girls how many selections of 6 students are possible?

A: There are 10 boys and 15 girls The total number of students is 25 The total number of ways of…

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

A: Given:  Total No of Men=6 Total No of Women=7 Formula used: The formula for combinations is given…

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: How many committees of two people can be chosen from this group of four people: Kyungsoo, Jaebeom,…

A: Total number of people are 4. Number of member for committee are 2.

Q: eight cars are in a race. there will be first place, second place and third place winners. assuming…

A: Consider the given information.

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…

Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.