In a city each person earns at most $5000 per month and every house is occupied by at most five people. What is the minimum number of houses required in the city such that there are at least three households with the same earnings per month?

In a city each person earns at most $5000 per month and every house is occupied by at most five people. What is the minimum number of houses required in the city such that there are at least three households with the same earnings per month?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

See similar textbooks

Related questions

Q: Suppose that I want to purchase a tablet computer. I can choose either a large or a small screen; a…

Q: I have 250 unique pairs of socks. If I want to have a pair of socks, what is the minimum number of…

A: Matching Pair: A matching pair is an experimental design where objects having the same…

Q: An online furniture store sells chairs for $100 each and tables for $450 each. Every day, the store…

A: Minimum number of tables to be sold is 5 or more.

Q: For this problem, assume that you have a committee of 12 members, and that you must choose a…

A: Given- Assume that you have a committee of 12 members, and that you must choose a secretary, and…

Q: If there are 4 math courses, 3 psychology courses, and 5 English courses offered in non-overlapping…

A: No.of math courses = 4 No.of psychology courses = 3 No.of English courses = 5 Consider that select…

Q: Which situation has a greater number of possibilities, one in which order matters or one in which…

A: When the order in which the elements are arranged matters, then Permutation is used. When the…

Q: a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the…

Q: A generous corporation not only gives its CEO a $1,000,000 bonus, but gives her enough money to…

A: A generous corporation not only gives its CEO a $1,000,000 bonus, but gives her enough money to…

Q: The delivery truck driver union is concerned that the workload is unequal. How many ways can 120…

A: Number of ways of distributing n identical things into r bins with no restrictions is given by…

Q: 2) For a balanced incomplete block design, suppose you have 8 treatments and know that there can…

A: Given :-For a balanced incomplete block design, suppose you have 8 treatments and know that there…

Q: What is the minimum number of texts Ray must have before it makes sense to switch to the unlimited…

Q: Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer…

A: Given:40 students of finite maths earns the college $40,00040 students of applied Calculus earns the…

Q: A drawer contains 17 black socks, 17 white socks, 17 blue socks, and 17 brown socks. If the light is…

A: Let’s say that he has picked four socks. If he have already found a pair after two or three or four…

Q: The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: 5. Assume that each scoop can only hold a maximum of 8 pieces and a minimum of 2. How many ways are…

Q: There is a set of courses with the starting and finishing time of each. You want to know, given a…

A: Given: It is given that a number k if it is possible to take at least k courses that is NP thses is…

Q: If a production line produces 50 mouse traps every 30 minutes over the course of a 10 hour work day…

Q: A coding supervisor has two full-time coders who average 35 productive hours per week. A standard of…

A: Introduction: It is given that 20 minutes are needed by a coder to prepare 1 chart. Thus, 60 minutes…

Q: A family has six children. If this family has exactly three boys, how many different birth and…

A: From the provided information, Total children in a family = 6 The family has exactly 3 boys.

Q: If the light is off 17 plack socks and 17 white socks if the light is off and Matt reaches into the…

A: If he pulls 2 socks, then he might get one black sock and one white sock. So, n≠2

Q: When I arrange the members of a marching band in rows of 2, 3, or 4, there is always 1 person left…

A: To solve the given problem

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 5…

A: Given that, A delivery driver has time to make deliveries at 5 locations among the 9 locations.…

Q: 2. Can the problem below modify into an ill-structured problem? Or is this problem already included…

Q: Match each problem to its solution formula by dragging a label from below and placing it next to the…

A: As per Bartleby's expert answering policy, we can answer only one question with a maximum of three…

Q: A fedex driver has time to make deliveries at 6 locations among the 9 locations remaining. How many…

A: Solution: From the given information, 6 locations are to be chosen among 9 locations.

Q: A contractor has a job which should be completed in 100 days. At present, he has 80 men on the job…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 7…

A: Given information 8 locations 7 deliveries needed 7 deliveries among 8 location is to be made It is…

Q: A traveling agent has to visit four cities, each of them five times. In how many different ways can…

A: There are 205! 5! 5! 5!ways to visit 4 cities, each of them 5 times.

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 5…

A: Combination:Combination is defined as the selection of all or part of a set of objects, without…

Q: There is a law made that every man that keeps sheep shall for every 10 sheep, sow one acre of ground…

A: Let the number of sheep he shall keep is 'x'. Given that for every 10 sheep, every man has to sow…

Q: A drawer contains 22 black 22 white socks and 22 blue socks. If the light is off and Matt reaches…

A: Given information 22 Black socks 22 White socks 22 blue socks 3 types of socks are there He will…

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 3…

Q: You are the plant supervisor and are respc scheduling workers to jobs on hand. Afte ing the cost of…

A: Given: To explain the given statement as follows, The optimal cost = $492. To find the new optimal…

Q: A pin tumbler lock has a series of pins, each of which must be positioned at the proper height to…

Q: To fulfill certain requirements for a degree, a student must take one course each from the following…

A: There are total 300 options for a student.

Q: determine x, the minimum number of sets of knives Brianna should buy?

Q: A contractor has a job which should be completed in 100 days. At present, he has 80 men on the job…

A: The amount of work done can be calculated by adding all work. Calculate the work done per day by…

Q: There are 10 questions on a discrete mathematics final exam. How many ways are there to assign…

A: Given: n = 10 (The number of questions) Each question is worth at least 5 points. 10 questions = 10…

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 6 locations…

A: Since the order of these 6 chosen locations will matter, hence the total number of routes can be…

Q: Suppose a lottery with 1,000,000 tickets has a first prize of $200,000, three second prizes of…

A: Given that, A lottery with 1,000,000 tickets has a first prize of $200,000, three second prizes of…

Q: How many different 4-person teams (order does not matter) can be put together from a group of 27…

A: We have to choose 4 people from 27 persons and the order does not matter. So we will use the…

Q: An office allots 85,000 a month for operational expenses such that 3/5 is allotted to the basic…

A: In this question, Given that office allots 85,000 a month for operational expenses 35 is allotted…

Q: If a person is making the minimum salary for a construction worker, they are making more than what…

Q: In a quiz that has ten multiple choice questions, each with three possible choices- What is the…

A: Given information No of questions = 10 Each has 3 possible responses For 10 questions, there are 3 x…

Q: 4. Assume that each scoop can only hold a maximum of 8 pieces. How many ways are there to sprinkle…

Q: A restaurant provides a brunch where the omelets are individually prepared. Each guest is allowed to…

A: Let the restaurant offers n ingredients. When a person is choosing an ingredient for an omelet, then…

Q: The Funny Toys Company has four men available for work on four separate jobs. Only one man can work…

A: Given: Let us consider the given table: Person 1 2 3 4 A 20 25 22 28 B 15 18 23…

Q: how many ways to are there for eight men and ten women to stand in a line so that there would be…

A: Consider the given information. Number of ways to arrange tan women can be defined as, 10P10=10!…

Q: Richard purchased 245 white bouncy balls, 238 yellow bouncy balls, and 84 orange bouncy balls. He…

A: Given that, the number of white balls is 245, the number of yellow balls is 238 and the number of…

Q: 4 For this problem, assume there are 10 adjacent seats in a row. How many different ways can 10…

A: the number of arrangements or ways r people seated n adjacent seats row =nPr =n!/(n-r)!

Question

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

To allocate annual bonuses, a manager must choose his top four employees and rank them first to fourth. In how many ways can he create the ‘Top- Four” list out of the 32 employees?
Answer the following questions. 5. What is the term for the arrangement that selects r objects from a set of ii objects when the order of the r objects is not important? What is the formula for calculating the number of possible outcomes for this type of arrangement?
How many arrangements can be made from the letters of the word “mountains” if all the vowels must form a string?
A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?