From a group of 12 newly hired office workers, 4 assistants are selected. Each of 4 different managers will be assigned one of these assistants. In how many ways can the assistants be selected and assigned?

From a group of 12 newly hired office workers, 4 assistants are selected. Each of 4 different managers will be assigned one of these assistants. In how many ways can the assistants be selected and assigned?

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

Related questions

Q: Alice, Bob, Carl, and Diane are going to be coaches for a children's bas- ketball tournament. There…

A: Given: Number of coaches=4, total number of children's=20 and each team consist of 5 players.

Q: In each of the parts below, the coins available are half-dollars, quarters, dimes, nickels, and…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: Suppose you work at a restaurant as a waiter. One night, only you and a coworker are staffed. At the…

Q: Numerical Response #4: A close who will get to ride to grad in an girls in the limo then there are

Q: For each situation below, identify whether it is a permutation or combination problem and then find…

A: Permutation relates to the act of arranging all the members of a set into some sequence or order.…

Q: Your teacher is randomly generating numbers from 1-30. For $0.50 you can bet if the number is going…

A: Price of each bet= $0.5, The payouts are: even number pays $1, number in the 20"s pays $1.75, and a…

Q: As a manager in a company, your department was assigned 3 projects to work on. In your department,…

A: It is given that there are 9 engineers and 3 projects to work.

Q: 20 professors are having a tea party, 6 physicists and 14 mathematicians. To prepare, they need to…

A: From given data we have : 20 professors are having a tea party, 6 physicists and 14 mathematicians.

Q: please explain step by step, every concept in detail

A: To solve this problem, we can use the concept of combinations. Since the balloons of the same color…

Q: Autumn is packing for a trip. She packs two types of shirts: short sleeve and long sleeve. She packs…

A: Given: She packs two types of shirts. 1. short sleeve 2. long sleeve She packs three types of…

Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…

A: Given,no.of black jelly beans=5no.of red jelly beans=1no.of yellow jelly beans=3Total no.of jelly…

Q: (i) CarLand is a car dealership with 22 sales staff. They decide to select 8 staff to be trained as…

A: A set of m member staffs from total n members group can be formed in any nm ways, with condition…

Q: You have four hours of free time today. You want to spend each hour doing something different. You…

A: Solution: From the given information, four hours to choose from seven hours.

Q: How many different groups of 5 problems can be chosen from the 14 problems?

A: Given that 5 problem can be chosen from the 14 problems. we use combination formula. n= 14 , r = 5…

Q: For this problem, assume that 13 exhibits entered the science fair and that we want to assign 4…

A: From the provided information, Total exhibits = 13 Total prizes = 4

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…

A: given data, we want to choose 2 letters, ,without replacement letters A,B,C,D and Ewe have to…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…

A: Given 16 smokers 22 non smokers

Q: Suppose you work at a restaurant as a waiter. One night, only you and a coworker are staffed. At the…

Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…

A: There are 3 pets: pigs, fish, turtles. Then possible 2 pet votes : (pigs, fish), (pigs, turtles),…

Q: Solve the following problems You have seven books and are going to put three on a bookshelf.…

A: 1 ) Let , you have given 7 book

Q: For the rest of the problems in this section, decide whether to use permutations or combinations.…

A: Given: Number of yellow marbles=3 Number of white marbles=4 Number of blue marbles=9 Total number of…

Q: boy lives at X and wants to go to School at Z. From his home X he has to first reach Y and then Y to…

Q: For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students…

Q: Decide whether the exercise involves permutations or combinations, and then solve the problem. In…

A: (a) Given: It is given that, A club has 11 male and 10 female members. To find: How many committees…

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 8…

A: Given data: The number of cars to pick is r=4. The number of subcompact cars is s=8. The number of…

Q: For this problem, assume Gwen and Harry have 6 types of cones and 13 flavors of ice cream. (1) In…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: Eight freshmen and eight sophomores want to play flag football. At URI, a flag foot- ball team must…

A: Eight freshmen and eight sophomores want to play flag football a flag foot- ball team must have…

Q: een 4 toys and each of the other 2 Q. Find the number of ways that 4 people can sit in (i) a row of…

A: Since the question has multiple sub parts we will solve the first part only. Please resend the…

Q: 16.) A group of 2 professors and 5 students (3 grad students and 2 undergrads) go to a movie…

A: There are 2 professors and 3 grad students and 2 undergrads students. The row is 7 seated. n= 7

Q: Jessica is grocery shopping and has 16 cherry tomatoes and 12 grape tomatoes in her shopping basket.…

Q: Solve the following problems completely. How many different sets of five cards each can arrange…

A: In this problem different sets of 5 cards need to be arranged from a pack of 52 cards. This is the…

Question

Note: In this problem set, the notation C(n, k) is used for
the combination "n choose k." Alternate notation: ( )

For the rest of the problems in this section, decide whether to use permutations or combinations.

6.) From a group of 12 newly hired office workers, 4 assistants are selected. Each of 4 different
managers will be assigned one of these assistants. In how many ways can the assistants be
selected and assigned?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose you visit a small, local panadería and decide to pick up some pasteries. The panadería has a selection of 8 different cupcakes, 14 different donuts ,7 different muffins ,2 types of donut holes , and 11 different types of pan dulce. You pick one of each. How many different orders are possible.
In the local boating pond there are 10 plain wooden boats, each with a different number. The owner decides that some of these boats will be painted: one in blue, one in green, one in red, and one in orange, and the remaining ones left unpainted. How many ways are there to paint the boats? The number of ways is
Mrs. Smith has 6 activity tables she wants to line up side by side in her classroom. (a) In how many ways can she arrange all 6 tables? Show your work.(b) If she only wants to have 4 of the tables set up, in how many ways can she choose the tables shewishes to have set up? Show your work. Answer:
PART IV. Solve the following problems. You have eight books and are going to put four on a bookshelf. How many different ways can the books be ordered on the bookshelf? 1. You have seven books and are going to randomly select three to read. How many different combinations of books might you select?
During a special promotion, a customer purchasing a computer and a printer is given a choice of 3 free software packages. There are 10 different software packages from which to select. How many different groups of software packages can be selected? Hint: This is a Combination problem! 120 604,800 360 720
From a group of 10 boys and 6 girls a committee of 3 boys and 2 girls is to be selected. In how many ways can this be done?
You are decorating a chocolate cupcake to give to your friend, and you can choose from any of the following decorations: icing, sprinkles, gummy bears, sour keys, and peanuts. You can choose any number of decorations that you can, but you know that your friend will also be happy if there are no decorations on the cupcake. How many ways can you prepare this cupcake?
Toward the end of a game of Scrabble you hold the letters D,O,G and Q. You can choose three of these four letters and arrange them in order in how many different ways?
PROBLEM SOLVING 1. You have 5 dogs that are all unique. You want to pick two, to be given to your younger cousin for her birthday. How many different combinations of dogs you can make from 5 dogs? 2. The class of Ms. Jina is composed of 10 males and 5 females. In how many ways can he fill the positions of president, vice president, secretary, treasurer, auditor, and business manager? 3. There are 10 defective light bulbs in a bin containing 25 light bulbs. In how many ways can you select at least 5 defective light bulbs when you choose 10 light bulbs at random?