Construct a preference table showing 12 votes for 3 candidates, A, B, and C, where candidates Aand B both have 5 first-place votes. Many answers are possible.
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Construct a preference table showing 12 votes for 3 candidates, A, B, and C, where candidates A
and B both have 5 first-place votes. Many answers are possible.

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- A rock group needs to choose 3 songs to play at the annual Battle of the Bands. How many ways can they choose their set if have 15 songs to pick from?A coffee shop has 7 Guatemalan roasts, 4 Cuban roasts, and 10 Costa Rican roasts. How many ways can the shop choose 2 Guatemalan, 2 Cuban, and 3 Costa Rican roasts for a coffee tasting event?Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer need to be filled. In how many different ways can the offices be filled?
- An art store has 4 brands of paint pens in 12 different colors and 3 types of ink. How many paint pens are there to choose from?Hector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?Over the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?
- The students in a class get to decide on the color of the classroom. The two choices are blue and yellow. Polling shows yellow is preferred by a small majority, 53% for yellow to 47% for blue. However, before the vote is held, a new color choice is added: red. Not a lot of people like red, but there are some yellow supporters who would actually vote for red. The results of the vote are below. Blue Yellow Red 46% 44% 10% What statement below is correct about adding a third choice to the plurality vote? O a Ob Oc d Red did not win the vote, but it draws enough support away from yellow to make blue the winner, even though a majority of students preferred yellow over blue when there were two choices. Red did not win the vote, but it had no effect on drawing enough support away from yellow to make blue the winner, even though a majority of students preferred yellow over blue when there were two choices. Red did not win the vote, so because of this, yellow should win the vote over blue.…Use the preferential voting method to determine the winner and compare it to the single candidate voting or plurality method. Who wins the preferential vote and the single candidate vote? There are 1000 voters and the candidates need 501 to win. There are 4 candidates for the house of representatives and you have to rank them by preference. Votes 1st 2nd Зrd 4th 350 Emilio Howard Hannah Melissa 225 Howard Hannah Melissa Emilio 225 Melissa Hannah Howard Emilio 200 Hannah Howard Melissa Emilio a Preferential: Henry wins with 425, Plurality: Emilio wins with 350 Preferential: Howard wins with 575, Plurality: Emilio wins with 575 Preferential: Howard wins with 700, Plurality: Emilio wins with 350 d. Preferential: Howard wins with 650, Plurality: Emilio wins with 350 O O Othere are 12 yellow, 5 blue, 14 red and 9 green marbles in a bag. a marble is chosen at random, not replaced, then another marble is chosen. find P(yellow, then green)









