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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Please show your solution. In a shipment containing 10 TV sets, 2 are defective. Two TV sets are taken for inspection in succession without replacement. what is the probabilty that a.) a defective TV set shall be taken on the first draw? b.) A non-detective shall be taken on the first and a non-detective on the second? c.) A non-defective on the second given that it is a defective TV on the first?
c) If A = {3,4,7,9) and K = {1,3,4), find AU K. d) An icecream shop surveyed 110 customers. They found that 5 liked Chocolate, Strawberry and Vanilla, 14 liked Strawberry and Vanilla, 8 liked Chocolate and Vanilla, 12 liked Strawberry and Chocolate and 7 liked none of these flavours. If 48 people in total liked Chocolate and 41 in total liked Vanilla, how many people liked Strawberry only?
E Suppose we want to Chosea objeats, without replacement, From the s objects pencil, easer, desk, chair, and lamp. (a) How many ways Con this be done, if the order of Hhe Choices matters? 6) How mary ways Can this be done, if the order of the choices does not matter?
7. Suppose we have a deck of non-standard cards. There are 4 suits, just like normal cards. Fro each suit, we have a 1,2,3,...10. We will consider 4 cards hands. (a) How many hands contain four of a kinds? (b) How many hands contain three of a kinds? c) exactly one pair. that is the other 2 cards do not make the hand better. (c) How mạny hands contain a pair?
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?
1. How many arrangements could be made of the word GRATEFUL if: o there are no restrictions? o the first letter is a vowel and the last letter is a consonant? o the first three letters are vowels? 1. Jessie starts from home and walks three (3) blocks north and five (5) blocks east to the library. From the library, she travels four (4) blocks north and seven (7) blocks east to the pizzeria. o How many different routes can Jessie take to go from home to the library if she is always moving closer to the library? o How many different routes can Jessie take to go from home to the pizzeria if she is always moving closer to the pizzeria? 1. A teacher must select five (5) students to attend a conference. She has 11 males and 13 females to choose from. Determine the number of way of selecting: o a group of five with no restrictions o exactly 3 females o at least 4 males o at most 3 females
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.

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