Question

6. Problems and Applications Q6 Three friends are choosing a restaurant for dinner. Here are their preferences: Kenji Lucia Paolo First choice Italian Italian Chinese Second choice Chinese Chinese Mexican Third choice Mexican Mexican French Fourth choice French French Italian If the three friends use a Borda count to make their decision, which restaurant do they choose? O French O Mexican O Chinese O Italian

Answer 1

If The Borda Count method Dusa simple tool that is used in elections and decision & Each Condidase is given a number of Point and once all votes have been counted the Te Borda Count Method is intended Each second Choice vote is Each Third choice vote i worth N-2 poine From the given data. To slove We consider here Bord a Count method the beu. moting in various contemporary sistushions option with le rose poines Consider to be able to choose different options and Condidates rather than the option that is preferred by the majority) Now Comers to the our Solutian & Comdidats Lel N us the number Each Fine Choice Vote is worth N Point worth N-i Poine worth M-3 Poice Vole u Each Fourth Choice vote is worth 1 Ponet. upto Each with choice

whore Each Choorn lie, kenji Lucia Is Chrise Italian Paolo Italian Chinese 4 Pore. "Choice Chinese Chinese mexican 3 pore and choice Mexican Mexicon French 22 Poid. Italian. th Choice French French 1 Point Hand mous poines Condidato receiver the wing the election, Italian = kennisschoice and tonic Lucia I choice is Italian and Paolo Choone as itthon Now Ptalian 4+ut 1 9 Chinese = kenj znolchoice t luciaznal choice + Paolochio =) 3+37 4 Der 13674310 Kenji 3rd choice t Lucia 3'd Choice + Paolo znod mexian B2+2+3 French, kenji 4th Choic + licia 4th Choic + Paolo 3'dcho 2) alta 1+1+2 = 4

Go 11) In this case we love only tuso Cheice : Borda Coun tomake loir deuren By obawing above result if 3 Friends we to Bordo Couro method then their desion will choreni Chineral Sprin celebs Leption c - Chinese restaurant So Some way hero olio we are welig Paola 1 Choice Chines lucia Italian Italian Chineo Stalion. and choice -- دکترول دررا Now kenjin chico Italian + Paolo ardhi =) 2+2+1 = 5 Paolalar Chinere kenji and Choico at lucia 2nd the y - 1+2 Pathis case they are having two choicy Itallion and Chinese. In these this, they will choose Italian restorant

Ho Scores giro bg alok Ptalian they w33 Chamber option a Here the number system isood to add upall individuals Greuil Dictators and Unaninnity NO Formte. Gwen Number & ovdan Transp faits és es Salesfied and also satisfied Bul Piceperdere 2 Prrelevaine alternative Conclistion anorgat preference beleven good Satisfed all in this scenario- By Obseuring give chois Italian and Chinese is not Changed by individuals. but after Cholin & Frenchard mexion preference between Italian ad Chinere i Changed which Salisted to Independere ? irrelevant alternative. Prremoulant optron @ Theeponderen Spieler altera Frolependent Prelevant alternative ës voilated. In this to scenario