help me answer all the questions

C. In a school election, there were 3 candidates Caleb, Tracy and Ryan. The preference Lable is shown bekany 7- 93 7 is the winner Number of voters 23 15 14 5 R . 15+5=20 using phunlitig 2 1* Choice T R C 2ND Choice R C IT 3 Choice C IT C Tracy won the election by the Plurality method. Has the Condorcet's Criterion been violated? Why or why out? Explain clearly by showing work and stating your answer in complete sentences 6. a. Explain what the Majority Criterion states: The majority Criterion states that if a condidate Receives a majority of ( male than 502) it fast place votes in election, ther that is the winner of the election. b. In problem it2, which candidate did you determine to be the winner using the Borda count method? Has the majority criterion been violated? Why or why not? Explain clearly by stating in complete sentences. T= 93(2)+ 15(0)+4()+ 5(41= 65 7 is the women Using bonds Count method. R-asked+ 15(2)+14(9]+ 5(2)= 6 fe mojacity criterion has not been viclated because C. 23()+15(4)+4(2)+(=] =43 Tracy five vickes more than 50%, and Tracy wen baido Count method and a majority of first place votes. C. In a school election, there were 3 candidates: Paula, Grace and Zack. The preference table is given below. Number of voters 33 18 12 21 G. 33(3)+1872)+12(3)+97(1)-192 1* Choice G Z G Z 2-303(2)+78(3)+12(1)+21(3) = 195 2ND Choice Z G P P " JOG) + 18(-2) + 12(2) +21 (2) . 1:17 3rd Choice IP P Z G 12 - the Women using Bouta Cound The winner of this election using the Borda count is Zack [show work to verify this). Has the majority criterion been violated? Why or why not? Explain clearly by stating your answer in complete sentences. 7. a. Explain what the Monotonicity Criterion states. b. Consider an election between Smith, Roberts and Yopp. The preference table is given below. The winner using the plurality-with-elimination method is Roberts, Show work to verify this. Number of voters 14 20 26 22 MY 14 1 901 96 921 1* Choice S S R Y 2ND Choice R S R 3rd Choice Y R S is the winon using plurality with elimination method. c. Now suppose the first election was declared invalid due to suspicion of voting machine error. When a second election was held, everyone voted the same, except the 14 voters in the first column decided to change their vote to favor Roberts (the winner of the original election using plurality-with-elimination method). They changed their ballot to R. S, and then Y. Did the reelection violate the Monotonicity Criterion? Why or why not? Explain clearly by showing work and stating your answer in complete sentences B. dependence-of-Irrelevant-Alternatives Criterion requires