3. Ranking the first, second, and third place finishers in a racewith 10 competitors.4. Choosing 4 candidates to a municipal planning board from afield of 7 candidates.5. Arranging the letters of the word READ, 3 at a time PERFORMANCE TASK #1DIFFERENTIATES PERMUTATION FROM COMBINATION OF n OBJECTS TAKEN r AT A TIME· Determine if the said situation shows a permutation or a combination. On the box provided after eachitem, explain why the situation is a permutation or a combination.

Answered: 3. Ranking the first, second, and third…

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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Six college sorority sisters-Summer, Autumn, Wynter, June, April, and January-got together for their twentieth reunion. Since college they had moved to six different states. Two lived out west (Oregon and Washington), two lived back east (New York and New Hampshire), and two lived down south (Oklahoma and Texas). They all sat around a round table. 1. The Texan sat between Autumn and the woman who lives in New Hampshire. 2. Wynter sat across from April. 3. January sat between Summer and the Washingtonian. 4. June and the woman to her left both live out west. 5. April sat between two easterners. Where does Summer live? Where does January live? Where does Autumn live?
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)
First Profile # of Voters C>D>B>A A>B>D>C Second Profile Ranking #of Ranking A 22-member committee is selecting a site for its next meeting. The choices are City A, City B, City C, and City D. Voters 7 C>D>B>A A>B>D>C A>B>C>D C>A>D>8 6. 5 A>B>C>D 5 4 D>C>B>A 4 (a) The committee members decide to use the pairwise comparison method to select a site in a nonbinding decision. Prior to any discussion, the 22 members rank the choices according to the first voter profile above. Show that City C is selected by the pairwise comparison method in the preliminary nonbinding decision. Complete the table below to demonstrate this. City A. Pairwise Comparison Points O (Type integers or decimals.) (b) The 4 committee members with the bottom ranking in the table rearrange their ranking after listening to the discussions. The other 18 committee members stick with their original rankings of the cities. For the official vote, the 22 members rank the choices according to the second voter profile above.…
Determines who wins the plurality vote and who wins the rank voting or preferential voting method in the election. 1. There are 650 students in a school, and they all get to vote for the school president. There are 3 candidates: Rios, • Millie, • Charles. Each student will receive a ballot and they will rank the candidates in or of 1", 2nd, and 3rd choice. Remember on the preferential vote the winning candidate must have 1 more than half the votes. See the results of the election below. Votes 225 175 250 225 1¹ Millie Charles Rios 250 and a. The person who has the largest number of first place votes is b. The person who has the fewest number of first place votes is c. The candidate we eliminate is d. Fill in the new table. 1 Charles Millie Millie Rios Rios Charles 2rd Is there a majority of votes for a candidate now? If yes, who is that candidate, and how many the first place votes does that candidate have? f. Who won the plurality vote or single candidate voting method? Explain how…
3. For a, b, and e below, identify which situation, A or B, is a combination. (4 Situation B Ranking your three favourite desserts. Selecting a 4-person executive team. Situation A a) Picking three desserts from a menu. b) Selecting a president, vice president, treasurer, and secretary. c) prace. Giving five different prizes to five different people, chosen from 10 people. people, chosen from 10 people. Giving the same five prizes to five diff 目

how many different choices are there ?
Suppose you are ordering a calzone from D.P. Dough. You want 7 distinct toppings, chosen from their list of 13 vegetarian toppings. How many choices do you have for your calzone? Preview How many choices do you have for your calzone if you refuse to have green pepper as one of your toppings? Preview How many choices do you have for your calzone if you insist on having green pepper as one of your toppings? Preview

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3. Ranking the first, second, and third place finishers in a race with 10 competitors. 4. Choosing 4 candidates to a municipal planning board from a field of 7 candidates. 5. Arranging the letters of the word READ, 3 at a time