FINITE MATHEMATICS >PRINT UPGRADE<
FINITE MATHEMATICS >PRINT UPGRADE<
12th Edition
ISBN: 9780357308615
Author: Tan
Publisher: CENGAGE L
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Chapter 6.1, Problem 78E
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Firm Alpha operates in a perfectly competitive market in a constant-cost industry and is earning negative economic profit. a. How does Firm Alpha determine its profit-maximizing quantity of output? Explain. b. Draw correctly labeled side-by-side graphs for Firm Alpha and the market it operates in. Label the axes and all of the following: i. Market price (PE) and market quantity (QE) ii. The firm's quantity of output (Qe) iii. The firm's average total cost (ATC) c. Completely shade the area of the firm's total cost. d. Identify whether the following increase, decrease, or remain constant as the market moves to long-run equilibrium: i. Market equilibrium quantity ii. Market equilibrium price e. Assume the product that Firm Alpha produces has a negative externality. Draw the marginal social cost (MSC) on the market graph from part (b). f. Will the unregulated market produce more or less than the socially optimal quantity? g. Label the socially optimal quantity (Qso) for the market on your…
Goods A, B, and C are related goods, each operating in a perfectly competitive market. a. As the price of Good A increases from $8 to $10, its quantity demanded falls from 200 units to 160 units. Calculate the price elasticity of demand for this range. b. Good A is an input for Good B. Illustrate the effect of the price change from part (a) on a fully labeled supply and demand graph for Good B. Label the equilibrium price(s) and quantity or quantities. Use arrows to indicate any shifts. c. On your graph from (b), shade the consumer surplus lost in the market for Good B as a result of the change in part (a). d. The equilibrium price for Good C is $2, and the equilibrium quantity is 60 units. The cross-price elasticity of Good C with Good A is -3. i. Are Good C and Good A normal goods, inferior goods, complementary goods, or substitute goods? ii. Calculate the new equilibrium quantity of Good C after a 25% price increase for Good A.
Let a = (-4, 5, 4) and 6 = (1,0, -1). Find the angle between the vector 1) The exact angle is cos 2) The approximation in radians is

Chapter 6 Solutions

FINITE MATHEMATICS >PRINT UPGRADE<

Ch. 6.1 - Prob. 1CQCh. 6.1 - Prob. 2CQCh. 6.1 - Prob. 3CQCh. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7E
Ch. 6.1 - Prob. 8ECh. 6.1 - In Exercises 9-14, state whether the statements...Ch. 6.1 - Prob. 10ECh. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Prob. 21ECh. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Let U denotes the set of all students who applied...Ch. 6.1 - In Exercise 27-28, write an expression describing...Ch. 6.1 - In Exercise 27-28, write an expression describing...Ch. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - In Exercise 35-38, let U={1,2,3,4,5,6,7,8,9,10},...Ch. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - BEST U.S. CITY FOR ITALIAN RESTAURANTS In a reader...Ch. 6.1 - INVENTORY Loss The biggest cause of inventory...Ch. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - Prob. 59ECh. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.1 - Prob. 63ECh. 6.1 - Prob. 64ECh. 6.1 - Prob. 65ECh. 6.1 - Prob. 66ECh. 6.1 - Prob. 67ECh. 6.1 - Prob. 68ECh. 6.1 - Prob. 69ECh. 6.1 - Prob. 70ECh. 6.1 - Prob. 71ECh. 6.1 - Prob. 72ECh. 6.1 - Prob. 73ECh. 6.1 - Prob. 74ECh. 6.1 - In Exercise 71-80, determine whether the statement...Ch. 6.1 - Prob. 76ECh. 6.1 - Prob. 77ECh. 6.1 - Prob. 78ECh. 6.1 - Prob. 79ECh. 6.1 - Prob. 80ECh. 6.2 - Prob. 1CQCh. 6.2 - Prob. 2CQCh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - If n(A)=15, n(AB)=5 and n(AB)=30, then what is...Ch. 6.2 - Prob. 8ECh. 6.2 - Prob. 9ECh. 6.2 - Prob. 10ECh. 6.2 - Prob. 11ECh. 6.2 - Prob. 12ECh. 6.2 - Prob. 13ECh. 6.2 - Prob. 14ECh. 6.2 - Prob. 15ECh. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - NEWSPAPER SUBSCRIBERS A survey of 1000 subscribers...Ch. 6.2 - JAIL INMATES On a certain day, the Wilton County...Ch. 6.2 - Of 100 clock radios with digital tuners and/or CD...Ch. 6.2 - COMPTER OWNERSHIP A survey of 100 college students...Ch. 6.2 - Prob. 22ECh. 6.2 - BRAND PREFERENCES OF CONSUMERS In a survey of 120...Ch. 6.2 - SPORTS CLUB SURVEY In a survey of 200 members of a...Ch. 6.2 - INVESTORS' USAGE OF BROKERS In a poll conducted...Ch. 6.2 - COMMUTER TRENDS Of 50 employees of a store located...Ch. 6.2 - CONSUMER SURVEY OF DESKTOP AND TABLET COMPUTER...Ch. 6.2 - CONSUMER SURVEY OF HDTV AND MP3 PLAYER OWNERS In a...Ch. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - In Exercises 3134, use the given information to...Ch. 6.2 - In Exercises 3134, use the given information to...Ch. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - BRAND SWITCHING AMONG FEMALE COLLEGE STUDENTSIn a...Ch. 6.2 - Prob. 41ECh. 6.2 - FEDERAL BUDGET ALLOCATION According to the Office...Ch. 6.2 - SURVEY OF LEADING ECONOMISTS A survey of the...Ch. 6.2 - STUDENT DROPOUT RATE Data released by the...Ch. 6.2 - STUDENT MAGAZINE PREFERENCES A survey of 100...Ch. 6.2 - SAT SCORES Results of a Department of Education...Ch. 6.2 - BRAND PREFERENCES OF CONSUMERS The 120 consumers...Ch. 6.2 - CAFETERIA STUDENT USAGE To help plan the number of...Ch. 6.2 - 401k INVESTMENTS In a survey of 200 employees of a...Ch. 6.2 - NEWSPAPER PREFERENCES OF INVESTORS In a survey of...Ch. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.3 - Explain the multiplication principle, and...Ch. 6.3 - Prob. 2CQCh. 6.3 - RENTAL RATES Lynbrook West, an apartment complex...Ch. 6.3 - COMMUTER PASSES Five different types of monthly...Ch. 6.3 - BLACKJACK In the game of blackjack, a 2-card hand...Ch. 6.3 - Prob. 4ECh. 6.3 - WARDROBE SELECTION A female executive selecting...Ch. 6.3 - COMMUTER OPTIONS Four commuter trains and three...Ch. 6.3 - PSYCHOLOGY EXPERIMENTS A psychologist has...Ch. 6.3 - Prob. 8ECh. 6.3 - HEALTH-CARE PLAN OPTIONS A new state employee is...Ch. 6.3 - CODE WORDS How many three-letter code words can be...Ch. 6.3 - Prob. 11ECh. 6.3 - MENU CHOICES The New Shanghai Restaurant offers a...Ch. 6.3 - CHOOSING A PIN Janice needs to make up a personal...Ch. 6.3 - MENU CHOICES Marias Trattoria offers mushrooms,...Ch. 6.3 - Prob. 15ECh. 6.3 - CHOOSING A DRIVER Five friends are leaving a bar...Ch. 6.3 - WRITTEN DRIVERs TEST The California drivers...Ch. 6.3 - BUILDING A PICKUP TRUCK The 2017 Sierra 1500...Ch. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 6.3 - SERIAL NUMBERS Computers manufactured by a certain...Ch. 6.3 - COMPUTER DATING A computer dating service uses the...Ch. 6.3 - AUTOMOBILE COLOR AND TRIM CHOICES The 2017 BMW...Ch. 6.3 - AUTOMOBILE OPTIONS The 2017 Toyota Camry comes...Ch. 6.3 - TELEVISION-VIEWING POLLS An opinion poll is to be...Ch. 6.3 - LICENSE PLATE NUMBERS Over the years, the state of...Ch. 6.3 - POLITICAL POLLS An opinion poll was conducted by...Ch. 6.3 - LICENSE PLATE NUMBERS In recent years, the state...Ch. 6.3 - Exams An exam consists of ten true-or-false...Ch. 6.3 - WARRANTY NUMBERS A warranty identification number...Ch. 6.3 - CHOOSING A PASSWORD A password is to be made from...Ch. 6.3 - LOTTERIES In a state lottery, there are 15...Ch. 6.3 - COMBINATION LOCKS A rolling combination four-digit...Ch. 6.3 - COMBINATION LOCKS Lugano Leather Company makes an...Ch. 6.3 - TELEPHONE NUMBERS a. How many seven-digit...Ch. 6.3 - SLOT MACHINES A "lucky dollar" is one of the nine...Ch. 6.3 - STAFFING Student Painters, which specializes in...Ch. 6.3 - Prob. 39ECh. 6.3 - In Exercises 39 and 40, determine whether the...Ch. 6.4 - a. What is a permutation of a set of distinct...Ch. 6.4 - Prob. 2CQCh. 6.4 - a. How many combinations are there of a set of n...Ch. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - In Exercises 1-22, evaluate the given expression....Ch. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - In Exercises 1-22, evaluate the given expression....Ch. 6.4 - In Exercises 1-22, evaluate the given expression....Ch. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - In Exercises 1-22, evaluate the given expression....Ch. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - In Exercise 1-22, evaluate the given expression....Ch. 6.4 - Prob. 22ECh. 6.4 - In Exercises 23-30, classify each problem...Ch. 6.4 - In Exercises 23-30, classify each problem...Ch. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Prob. 29ECh. 6.4 - In Exercises 23-30, classify each problem...Ch. 6.4 - Prob. 31ECh. 6.4 - How many three-letter permutations can be formed...Ch. 6.4 - In how many ways can four students be seated in a...Ch. 6.4 - In how many ways can five people line up at a...Ch. 6.4 - Prob. 35ECh. 6.4 - In how many ways can the names of six candidates...Ch. 6.4 - In how many ways can a member of a hiring...Ch. 6.4 - In how many ways can an investor select four...Ch. 6.4 - Find the number of distinguishable permutations...Ch. 6.4 - Find the number of distinguishable permutations...Ch. 6.4 - In how many ways can the letters of the website...Ch. 6.4 - In how many ways can five people boarding a bus be...Ch. 6.4 - Prob. 43ECh. 6.4 - How many different signals can be made by hoisting...Ch. 6.4 - SUPERMARKET SITE SELECTION In how many ways can a...Ch. 6.4 - SELECTING A READING LIST A student is given a...Ch. 6.4 - QUALITY CONTROL In how many ways can a...Ch. 6.4 - STUDY GROUP ASSIGNMENTS A group of five students...Ch. 6.4 - TELEVISION PROGRAMMING In how many ways can a...Ch. 6.4 - WAITING LINES Seven people arrive at the ticket...Ch. 6.4 - SELECTING A SPECIAL OCCASION CAKE Fosselmans Ice...Ch. 6.4 - WEDDING CATERING L.A. Wedding Caterers offers a...Ch. 6.4 - MENU CHOICES Buca di Beppo, an Italian restaurant,...Ch. 6.4 - MANAGEMENT DECISIONS Weaver and Kline, a stock...Ch. 6.4 - CAR POOLS A company car that has a seating...Ch. 6.4 - Prob. 56ECh. 6.4 - TRAVEL WARDROBE Kaylee is planning a wardrobe for...Ch. 6.4 - Criminology The town of Carson employs 15 police...Ch. 6.4 - Book Exhibitions At a college library exhibition...Ch. 6.4 - CONCERT SEATING In how many ways can four married...Ch. 6.4 - Prob. 61ECh. 6.4 - Prob. 62ECh. 6.4 - NEWSPAPER ADS Four items from five different...Ch. 6.4 - MANAGEMENT DECISIONS C ** J Realty has received 12...Ch. 6.4 - SELECTING A BASEBALL TEAM A Little League baseball...Ch. 6.4 - TENNIS MATCH In the mens tennis tournament at...Ch. 6.4 - Prob. 67ECh. 6.4 - JURY SELECTION In how many different ways can a...Ch. 6.4 - Prob. 69ECh. 6.4 - EXAMS A student taking an examination is required...Ch. 6.4 - TEACHING ASSISTANTSHIPS Twelve graduate students...Ch. 6.4 - SENATE COMMITTIES In how many ways can a...Ch. 6.4 - CONTRACT BIDDING UBS Television Company is...Ch. 6.4 - PERSONNEL SELECTION JCL. Computers has five...Ch. 6.4 - Prob. 75ECh. 6.4 - WRITTEN DRIVERS TEST A state Motor Vehicle...Ch. 6.4 - Prob. 77ECh. 6.4 - Prob. 78ECh. 6.4 - Prob. 79ECh. 6.4 - Prob. 80ECh. 6.4 - Prob. 81ECh. 6.4 - Prob. 82ECh. 6.4 - Prob. 83ECh. 6.4 - WORLD SERIES In the World Series, one National...Ch. 6.4 - VOTING QUORUMS A quorum minimum of 6 voting...Ch. 6.4 - Prob. 86ECh. 6.4 - Prob. 87ECh. 6.4 - Prob. 88ECh. 6.4 - Prob. 91ECh. 6.4 - Prob. 92ECh. 6.4 - Prob. 93ECh. 6.4 - Prob. 94ECh. 6.4 - Prob. 1TECh. 6.4 - Prob. 2TECh. 6.4 - Prob. 3TECh. 6.4 - Prob. 4TECh. 6.4 - Prob. 5TECh. 6.4 - Prob. 6TECh. 6.4 - In Exercises 110, evaluate the expression. C(52,7)Ch. 6.4 - Prob. 8TECh. 6.4 - In Exercises 110, evaluate the expression....Ch. 6.4 - In Exercises 110, evaluate the expression....Ch. 6.4 - Prob. 11TECh. 6.4 - Prob. 12TECh. 6.CRQ - Fill in the blanks. A well-defined collection of...Ch. 6.CRQ - Prob. 2CRQCh. 6.CRQ - Prob. 3CRQCh. 6.CRQ - Prob. 4CRQCh. 6.CRQ - Prob. 5CRQCh. 6.CRQ - Prob. 6CRQCh. 6.CRQ - Prob. 7CRQCh. 6.CRQ - Prob. 8CRQCh. 6.CRE - Prob. 1CRECh. 6.CRE - Prob. 2CRECh. 6.CRE - Prob. 3CRECh. 6.CRE - Prob. 4CRECh. 6.CRE - Prob. 5CRECh. 6.CRE - Prob. 6CRECh. 6.CRE - Prob. 7CRECh. 6.CRE - Prob. 8CRECh. 6.CRE - Prob. 9CRECh. 6.CRE - Prob. 10CRECh. 6.CRE - Prob. 11CRECh. 6.CRE - Prob. 12CRECh. 6.CRE - Prob. 13CRECh. 6.CRE - Prob. 14CRECh. 6.CRE - Prob. 15CRECh. 6.CRE - Prob. 16CRECh. 6.CRE - Prob. 17CRECh. 6.CRE - Prob. 18CRECh. 6.CRE - Prob. 19CRECh. 6.CRE - Prob. 20CRECh. 6.CRE - Prob. 21CRECh. 6.CRE - Prob. 22CRECh. 6.CRE - Prob. 23CRECh. 6.CRE - Prob. 24CRECh. 6.CRE - Prob. 25CRECh. 6.CRE - Let A and B be subsets of a universal set U and...Ch. 6.CRE - Prob. 27CRECh. 6.CRE - Prob. 28CRECh. 6.CRE - Prob. 29CRECh. 6.CRE - Prob. 30CRECh. 6.CRE - CREDIT CARD COMPARISONS A comparison of five major...Ch. 6.CRE - STUDENT SURVEYS The Department of Foreign...Ch. 6.CRE - In how many ways can six different DVDs be...Ch. 6.CRE - Prob. 34CRECh. 6.CRE - In how many ways can six different books, four of...Ch. 6.CRE - Prob. 36CRECh. 6.CRE - Find the number of distinguishable permutations...Ch. 6.CRE - Prob. 38CRECh. 6.CRE - AUTOMOBILE SELECTION An automobile manufacturer...Ch. 6.CRE - MENU SELECTIONS Two soups, five entres, and three...Ch. 6.CRE - Prob. 41CRECh. 6.CRE - POKER From a standard 52-card deck, how many...Ch. 6.CRE - Prob. 43CRECh. 6.CRE - TEAM SELECTION There are eight seniors and six...Ch. 6.CRE - Prob. 45CRECh. 6.CRE - SEATING ARRANGEMENTS In how many ways can seven...Ch. 6.CRE - Prob. 47CRECh. 6.CRE - Prob. 48CRECh. 6.CRE - Prob. 49CRECh. 6.CRE - Prob. 50CRECh. 6.BMO - Prob. 1BMOCh. 6.BMO - Prob. 2BMOCh. 6.BMO - In how many ways can four compact discs be...Ch. 6.BMO - Prob. 4BMOCh. 6.BMO - Prob. 5BMO
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