3.77 There are 6 identical chairs at a round table. In how many ways can 6 people sit at this table such that: (a) persons A and B sit next to each other b) persons A and B sit opposite each other c) only person C sits between persons A and B d) persons A and B sat opposite each other and at the same time persons C and D sat opposite each other? Note: Two table arrangements are considered different if in these arrangements at least one person has different neighbors.

3.77 There are 6 identical chairs at a round table. In how many ways can 6 people sit at this table such that: (a) persons A and B sit next to each other b) persons A and B sit opposite each other c) only person C sits between persons A and B d) persons A and B sat opposite each other and at the same time persons C and D sat opposite each other? Note: Two table arrangements are considered different if in these arrangements at least one person has different neighbors.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Please help on these questions
7. Which is a possible arrangement of 5 persons sitting around a circular table? A. С. В. D. 8 Three boys and three girls are to be seated around a dining table. John is among the boys and does not like any girl to be beside him. Just like John. Lovely does not like any boy beside her. Which of the following could be a possible arrangement? А. С. D. all of the above B.
5. Monica is looking for a book in Perpucil. When passing a shelf, he see that there are some books that are not neatly arranged. He intends to compile books and calculate the number of ways that can be done to arrange the books the. There are 5 types of books that Monica will arrange. Each type of book to be compiled It consists of books with different titles. Here are the details of 5 Types of books to be compiled:● Calculus type books: 5 books● Discrete Mathematics type books: 7 books● PSD type books: 3 books● Kombistek type books: 4 books● DDP type books: 6 booksCount the number of ways to arrange the books in a row on a shelfprovision:a. There are no special requirements in the preparation of the bookb. Similar books should be placed next to each otherc. Similar books should be placed side by side and the book that occupies the position the right and left edges of the shelf are between books of the Discrete Mathematics or DDP typed. Similar books should be placed side by side and…
a class consists of 37 freshmen, 54 sophomores, and 22 juniors. The class wantsto send a nine-person delegation to the university sentate a) if the delegation has to consist of 2 freshman 3 sophomore, and 4 juniors, how many different delegation are possible? b) If the nine-person delegation is chosen without regard to class standing, how many delegations are possible?
4. How many ways are there to seat 7 people at a round table in the following two different situations? a) Everyone can sit anywhere. b) Certain two people should not be sitting next to each other
In a construction site, the labor are working for 13 consecutive days.The average salary for 13 consecutive working days for the labor was $120/day.During first 6 days his average salary was $114/day and during last 6 days his average salary was $125/day. The salary on his 7th day is:- 1)124 2)128 3)125 4)126 5)None of these
Pls help ASAP
1). Five chairs arranged arranged for five people invited .How many seated formations are possible? 2). In the Statistics course, there are 6 male and 4 female students. A test is given and then ranked according to the score obtained. If it is assumed that there are no equal scores, then:a. How many ranking formations are possible?b. If male students are ranked separately, and female students are also ranked separately, how many formations are possible?
3.79. In a compartment of a railroad carriage there are eight seats numbered from 1 to 8 in two equal rows. There are four girls: Ala, Julia, Kornelia and Maja, and four boys: Antek, Janek, Kacper and Michał. In how many ways can these people occupy the compartment:a) any wayb) in such a way, that girls will sit in even numbered seatsc) in such a way, that Julka and Antek sit next to each otherd) people whose names begin with the same letter should sit opposite each other?
Among the eight nominees for two vacancies on a school board are four men and four women. How many ways can the vacancies be filled a) With any two of the eight nominees? b)With any two of the female nominees? c) With any one of the male nominees and one of the female nominees?
Please keep in mind that the order of the students sitting matters so you should use permutation