(c) Orientation does not matter, so two sittings are considered identical if eachperson sits beside the same two people in each sitting.ing (15) Ten people are sitting around a round table. How many different sittings are pos-sible in the following scenarios?(a) One of the chairs is identified as being the head of the table.(b) All chair positions are identical, so sittings are identified only according to therelative positions with each other. (Here it only matters who sits on one's rightand who sits on one's left.)

(a) In this case, we can fix the individual's placement at the designated chair (the head of the…

Answered: (15) Ten people are sitting around a…

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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2. Molly really enjoyed country music. After listening one afternoon to her favorite station foran hour, she had heard 25 songs. All but 1 song were about either truck drivers, being in love,hound-dog owners, or some combination of the three. She noted the following information: Allof the truck drivers were in love. Three-fourths of the truck drivers were not hound-dogowners. There were six hound-dog owners who were in love. Of the hound-dog owners whowere not truck drivers, half of them were in love. Eighty percent of all the songs concernedpeople in love. How many songs concerned people who were in love but were neither truckdrivers nor hound-dog owners?
(a) Find the number of these patients that had either high blood pressure or high cholesterol levels, but not both. (b) Find the number of these patients that had fewer than two of the indications listed. (c) Find the number of these patients that were smokers but had neither high blood pressure nor high cholesterol levels. (d) Find the number of these patients that did not have exactly two of the indications listed
An English class consists of 24 students, and five are to be chosen to give speeches in a school competition. In how many different ways can the teacher choose the team, given the following conditions? (a) The order of the speakers is important.(b) The order of the speakers is not important.
need parts C and D
Dr. Lawrence has minimized his wardrobe during the fall of 2020, since there's no reason to dress up fancy these days. He has three pairs of jeans, five sweatshirts, and four hats that he puts to regular use. If he were to select his outfit for the day at random, how many different jean-sweatshirt-hat combinations are there? 6.
Andy and Marjorie are playing tennis. The points system is as follows: there are two conditions for a player to win a game: 1) A player must reach four points in that game before their opponent. So for example, if Andy wins four out of the first five points, then he wins 4-1. 2) A player must have at least two more points in that game than their opponent. So for example, if the score is 3-3 and then Andy wins a point, then the score is 4-3 to Andy but the game isn't over. If Andy wins the next point, then he wins the game 5-3; otherwise, the score is 4-4, and again a player must win two points in a row to win the game. When the score in a game is tied at 3-3 (or 4-4, or 5-5, and so on), it is called 'deuce'. To win a set, a player must win six games before their opponent and as with games, this must be by a difference of two. So for example if Marjorie wins 6 out of the first 8 games, she wins the set 6-2. Unlike games, however, sets do not go on indefinitely. You may assume for now…
. Among a group of 100 book enthusiasts: 40 people like mystery novels, 60 like science fiction novels, 30 likeromance novels, and 10 like both mystery and romance novels. While all surveyed liked at least one genre ofnovel, it has been established that none of the people like both science fiction and romance novels. Howmany people like both mystery and science fiction novels?
When making an ice cream sundae, you have a choice of 44 types of ice cream flavors: chocolate (C), vanilla (V), Moose Tracks (M), or dark chocolate (D); a choice of 22 types of sauces: hot fudge (H) or butterscotch (B); and a choice of 22 types of toppings: whipped cream (W) or fruit (F). If you are choosing only one of each, list the sample space in regard to the sundaes (combinations of ice cream flavors, sauces, and toppings) you could pick from.
q.6
Ani (the contractor) is to build eight homes on a block in a new subdivision, using two different models: standard and deluxe. (All standard homes are the same, and all deluxe models are the same.) (a) How many different choices does Ani have in positioning the eight houses if she decides to build four standard and four deluxe models? (b) If Ani builds six deluxes and two standards, how many different positionings can she use?
PLEASE PROVIDE THOROUGH EXPLANATION....answer for ii) is 1/3
[A] A bakery sells 6 different kinds of pastry (and has at least 12 of each kind). (A.1) How many different selections of 12 pastries can be made? (A.2) How many different selections of 12 pastries can be made if at least one of each kind must be selected? (A.3) Suppose that raspberry swirl is one kind of pastry sold. How many selections of 12 pastries can be made if you must have exactly 5 raspberry swirl pastries? (A.4) How many different selections of 12 pastries can be made so that you have at most 2 raspberry swirl pastries?

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