E Suppose we want to Chosea objeats, withoutreplacement, From the s objects pencil, easer, desk,chair, and lamp.(a) How many ways Con this be done, if the order of HheChoices matters?6) How mary ways Can this be done, if the order ofthe choices does not matter?

There are 5 objects that is pencil, eraser, desk, chair, lamp Two objects are selected without…

Answered: Suppose we want to Choose a aobjects,…

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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Suppose we want to choose 7 objects, without replacement, from 11 distinct objects.(If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices is taken into consideration? (b) How many ways can this be done, if the order of the choices is not taken into consideration?
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? !
Suppose we want to choose 7 objects, without replacement, from 11 distinct objects.(If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices is taken into consideration? (b) How many ways can this be done, if the order of the choices is not taken into consideration?
A bagel shop has bagels in the following six varieties: plain, sesame, onion, blueberry, asiagocheese, and everything. Assuming there are at least 20 bagels of each variety, how many waysare there to choose 20 bagels...a. with no restrictions.b. with three or fewer blueberry bagels.c. with three or fewer blueberry bagels and three or fewer onion bagels.
Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices does not matter? ☐ (b) How many ways can this be done, if the order of the choices matters?
There are 4 vacancies on the scholarship committee at a certain university. In order to balance the men and women on the committee, 1 woman and 3 men are to be appointed. In how many ways can this be done if the following are available to serve? (a) 9 men and 8 women ways(b) 4 men and 5 women ways
Suppose we have to choose a meal consisting of three courses: Soup, appetizer, and main course. Each course comes in the following types: Soup: (2 types): rice, vegetable Appetizer: (3 types): Chicken, Pasta, Rice Main Course: (5 types): Beef, Chicken, Fish, Pasta, Vegetable a) How many different meals are possible? b) How many meals contain appetizer and main course of the same type? c) Suppose I randomly select a meal (each meal is equally likely). What is the probability that the meal contains neither chicken nor beef in any course? d) Suppose I randomly select a meal (each meal is equally likely). What is the probability that the meal contains the vegetable soup?
Nine students, five men and four women, interview for four summer internships at a city newspaper.(a) In how many ways can the newspaper choose a set of four interns?(b) In how many ways can the newspaper choose a set of interns with two men and two women?(c) How many set can be formed such that all interns are not of the same sex?

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Suppose we want to Choose a aobjects, without replacement, From the s objects pencil, eroser, desk, chair, and lamp. (a) How many ways Can this be done, if the order of the Choices matters? 6) How many Ways Can this be done, if the order of the choices does not matter?