In voting among three candidates, the outcomes are reported as: (ABC) (ACB) (BAC) (BCA) (CAB) (CBA) 7 ,5 ,2 ,1 ,7 ,3​Determine the winner, if any, using Hare method.

the powerball lottery is played twice each week in 31 states, the district of columbia and the virgin islands. To play powerball, a participant must purchase a $2 ticket, selest five numbers from the digits 1 through 59, and then select a powerball number from the digits 1 through 35. To determine the winning numbers for each game, lottery officials draw 5 white balls out of a drum of 59 white balls numbered 1 through 59 and 1 red ball out of a drum of 35 red balls numbered 1 through 35. To win the powerball jackpot, a participant's numbers must match the numbers on the 5 white balls in any order and must also match the number on the red powerball. The numbers 5-16-22-23-29 with a powerball number 6 provided the record jackpot of $580 million a) How many powerball lottery outcomes are possible?( hint Consider this a two-step exsperiment. Select the 5 white ball numbers and then selectthe 1 red Powerball number) b) What is the probability that a $2 lottery ticket wins the powerball…

Use the Condorcet method to determine the winner of the election. Four students are running for president of the school: • Ariana (A), • Brett (B), • • DeeDee (D). The 5 clubs and their members were asked to rank all candidates. Number of Voters 19 15 Carlos (C), and σ O O O O n d A B с D 11 7 2 Preference Order 1st to last с D B с с D A A A A C D D A с D B olmalı B B B