Use the Borda count method to determine the winner of the election? Four students are running for president of the school:• Ariana (A),Brett (B),• Carlos (C), and• DeeDee (D).The 5 clubs and their members were asked to rank all candidates.Clubs134Number of Votes19151172FirstABSecondВAThirdACAFourthDCВAВaAВdO O O O

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Answered: Use the Borda count method to determine…

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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A committee consists of five executives, three women and two men. Their names are Maria (M),John (J), Susan (S), Will (W) and Holly (H). The committee needs to select a chairperson and a secretary. Itdecides to make the selection randomly by drawing straws. The person getting the longest straw will beappointed chairperson, and the one getting the shortest straw will be appointed as secretary. The possibleoutcomes can be represented in the following manner.MS SM HM JM WM MH SH HS JS WSMJ SJ HJ JH WH MW SW HW JW WJHere, for example, MS represents the outcome that Maria is appointed chairperson and Susan is appointed assecretary.(a) List the outcomes constitution each of the following four eventsA = Event a male is appointed chairpersonB = Event Holly is appointed chairpersonC = Event Will is appointed secretaryD = Event only females are appointed(b) Calculate P(not A)(c) Calculate P(B and D)(d) Calculate P(B or C) (maria,susan and holly are female/women and john and will are male)
Five people (Antoine, Ben, Chloe, Damien, and Evelyn) form a club, N = {A, B, C, D, E). Chloe and Evelyn are women, and the others are men. If they choose a president randomly, find the odds in favor of Evelyn becoming president. The odds in favor of Evelyn becoming president are (Type whole numbers.)
A committee of 5 people is to be formed from the following 10 people: Len, Mia, Max, Ted, Mel, Ann, Jim, Tim, Moe, Kim. How many combinations are there if there must be exactly 3 people on the committee whose names start with 'M'? Select one: O a. 10C5 O b. Oc. O d. 10P5 (4C3) (6C₂) (4P3) (6P2)
In a class there are 10 boys and 6 girls. A committee of 3 boys and 2 girls is to be choosen. How many different possibilitieas are there? 21600 1800 135 4368
Consider the scenario of three candidates, A, B, and C, who are running for president of the student council. Determine the winner using the Borda count method. Number of Votes 50 65 60 First Choice ACC Second Choice BBA Third Choice CAB The winner is The winner received points.
Team Jet has 7 members who won a school competition. Of these 7, 4 members are randomly picked to receive prizes for winning. The 1st member selected wins a $50 gift card; the 2nd person selected wins a $25 gift card; the 3rd person selected wins a $10 gift card; the 4th person selected wins a $5 gift card.The names of Team Jet's members are represented by the first letter of their first names, as displayed in the following table: Name Frank Gina Harriet Inez Jakob Keven Liu Letter F G H I J K L In the box below, complete the remaining three rows of the list that models how to calculate the number of possible ways 4 team members can be selected to win the prizes.1) F G H I J K L Let Lui win the 1st prize, so select L.2) _________ _____________________________3) _________ _____________________________ 4) _________ _____________________________
Mr. Abdul Rheman's class held an election for class president. Instead of just voting for one candidate, students need to rank all the candidates according to their preference. The results are shown below: Rankings 2 1 2 3 1 Y 2 1 2 3 1 3 1 3 1 2 2 Number of 8 7 7 8 6. 7 Students Number of Votes for the Winner by Plurality.
Jamal has five comic books, four novels, and three biographies. He wants to choose one comic book, one novel, and one biography randomly. How many total outcomes are in this sample space?

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