Ten friends together watch four films, and then each vote for their favourite. Writedown the number of different possible outcomes in each of the following cases:i. The people are treated as identical (i.e. only the total numbers of votes foreach film matters).ii. The people are treated as distinct (i.e. it also matters which person votes forwhich film).

i)When the people are treated as identical, only the number of votes each film receives matter. Let…

Answered: Ten friends together watch four films,…

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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A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 31 said they drove alone. 32 rode in a carpool. 28 rode public transportation. 4 used both carpools and public transportation. 5 used both a carpool and sometimes their own cars. 3 used buses as well as their own cars. 1 used all three methods. How many used none of the above-mentioned means of transportation?students
When taking a 19 question multiple choice test, where each question has 3 possible answers, it would be unusual to get_______ or more questions correct by guessing alone. Note: Of course it would be unusual to get 19 questions correct. You need to enter the smallest possible number of questions to make getting "that many correct" unusual.Give your answer in the box above as a whole number.
The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller than the proportion of households from B. In order to test this, the manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.
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We survey 200 students, and ask each whether they like donuts, pizza, and/or tacos. Every student liked at least one of them. - 100 students liked donuts - 80 students liked pizza - 100 students liked tacos - 10 students liked all three options How many students liked exactly two of the options? Type your answer.
Hale Middle School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent. Here are the positions and the people interested in each. Position People interested Faculty member Mrs. Gray, Ms. Foster, Mr. Harris Male student Female student Abdul, Ravi, Sam, Chris Laura, Christine, Melissa, Karen Dr. Peterson, Mr. Hughes, Ms. Clark, Ms. Hernandez Based on this list, how many ways are there to fill the four committee positions? Parent Explanation Check X 5 hp Ⓒ2022 McGraw Hill LLC. All Rights Reserved Terms of Use Privacy Ce
2. The college's soccer team will play II games next fall. Each game can result in one of three outcomes: a win, a loss, or a tie. Find the total possible number of outcomes for the season record.
A father and his three children decide to hold a vote to select an after dinner activity. They will either see a play or a movie. If the majority of the family agrees on a preferred activity, then they will do that activity. If two family members vote to see a play and the other two family members vote to watch a movie, then (since the father will pay for the activity), the father's vote will be used to break the tie. (a) How many winning coalitions are there in this situation? (b) Find one of the children's Banzhaf power index.
Four puppies, Bruno, Kitty, O'Reilly, and Sweetie, competed in the Annual Puppies of the World Fair. Prizes were awarded for the top three competitors as follows: first place received a Red Ribbon, second place received a Yellow Ribbon, and third place received a Blue Ribbon. Three members of the audience predicted how the prizes would be awarded. • Lucie predicted that Sweetie would win a Red Ribbon, Kitty would win a Yellow Ribbon, and O'Reilly would win a Blue Ribbon. • Jenn predicted that Bruno would win a Red Ribbon, Sweetie would win a Yellow Ribbon, and O'Reilly would win a Blue Ribbon. • Brenton predicted that Kitty would win a Red Ribbon, Bruno would win a Yellow Ribbon, and Sweetie would win a Blue Ribbon. It turns out that each audience member predicted exactly one prize winner correctly. Determine which dog won which prize.

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