a.10. A group of 6 people are to be seated in row. In how many ways can the group be seated if:A certain 2 people are enemies and does not want to be seated next to each other?b. A certain 3 people in this group would like to be always seated next to each other?If the group are to be seated instead in a circular arrangement, how many ways canthey be seated for the condition in letter b?C.

Answered: Image /qna-images/answer/59dc435d-d505-45db-8ecf-20fa3b8a635e.jpg

Answered: 10. A group of 6 people are to be…

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...

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re about o.. There are many houses on Warp Drive in Kirk, Missouri. Ninety houses have cable TV. Fifty-two houses have a pool. Sixty-eight are one-story houses. There are 49 houses that have a pool and cable TV. There are 43 one-story houses with pools. There are 57 one-tory houses with cable TV. There are 42 one-story houses with cable TV and a pool And there are 4 houses that are not one-story and do not have a pool or able TV. a. How many houses are on Warp Drive! b. How many houses don't have a pool c. How many houses have cable TV but are not one-story! d. How many one-story houses have cable TV but no pool e. How many houses have a pool but don't have cable TVand are not one-story!
3. The students' council is having pizza at their next meeting. There are 20 council members, 6 of whom are vegetarian. A committee of 3 will order six pizzas from a pizza shop that has a special price for large pizzas with up to three toppings. The shop offers ten different toppings. a) How many different pizza committees can the council choose if there must be at least one vegetarian and one non-vegetarian on the committee?
1. A restaurant offers a combo meal. A combo comes with any one of 8 sandwiches, a side (there are 4 from which to choose, and a drink. There are 9 drinks you can select. How many combos are possible? b. How many combos are possible that have onion petals as a side? How many combos are possible that have either onion petals as a side or Fountain Dew to а. C. drink?
At a music festival, there are seven bands scheduled to play, numbered 1 through 7. a. How many different ways can these bands be arranged to perform? b. If band 3 is performing first and band 1 last, then how many ways can their appearances be scheduled? a. There are different ways to arrange the bands. (Simplify your answer.) b. If band 3 is performing first and band 1 last, there are different ways to arrange the bands. (Simplify your answer.) Enter your answer in each of the answer boxes.
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…
5.) How many different 4-letter radio station call letters are possible if: (a) The first letter must be K or W and no letter may be repeated? (b) The first letter must be K or W, and repetition of letters is allowed? (c) The first letter must be K or W, no letter may be repeated, and the last letter is R? !
Computer programming team has 13 members. B.) Suppose 7 are women and 6 are men. How many groups of 5 can be chosen to only one being a man? B2) Suppose 2 insist on working together or not at all on projects. How many groups of 5 can be chosen to work on a project?
4) A box contains 5 green, 7 yellow & 10 orange pingpong balls. How many ways can 5 balls be selected if: a. all the balls are orange? b. all the balls are green? c. all the balls are yellow? d. 2 are orange & 3 are yellow? e. 1 is green & 4 are orange?
e) d) In how many ways can the letters of the word "OPTOM" be arranged? Show work. A committee of 3 is to be formed from a group of 20 people. How many different committees are possible? Show work. f) From a group of 5 women and 7 men, how many different committees consisting of 2 women and 3 men can be formed? Show work.
A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random sample of 225 machines is taken, and 60 of the machines in the sample malfunction. Based upon this, compute a 95% confidence interval for the proportion of all X-ray machines that malfunction. Carry the intermediate computations to at least three decimal places. Round the answers to two decimal places. (a) What is the lower limit of the 95% confidence interval? (b) What is the upper limit of the 95% confidence interval?
2. If there are 120 people in your college class, are there at least 5 people that share the same last initial? a. Let the pigeon holes be: b. Let the pigeons be: c. What is k? d. Now the number of pigeons would have to be greater than: e. Is the number of pigeons or people greater? Why or why not? f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not? Write your response below:

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