Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition
Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition
11th Edition
ISBN: 9781305283831
Author: Tan
Publisher: Cengage Learning
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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 6.3, Problem 33E

SLOT MACHINES A "lucky dollar" is one of the nine symbols printed on each reel of a slot machine with three reels. A player receives one of various payouts whenever one or more "lucky dollars" appear in the window of the machine. Find the number of winning combinations for which the machine gives a payoff.

Hint: (a) Compute the number of ways in which the nine symbols on the first, second, and third reels can appear in the window slot, and (b) compute the number of ways in which the eight symbols other than the "lucky dollar" can appear in the window slot. The difference ( a  -  b ) is the number of ways in which the "lucky dollar" can appear in the window slot. Why?

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Chapter 6 Solutions

Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition

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 - 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. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - Prob. 32ECh. 6.2 - Prob. 33ECh. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - BRAND SWITCHING AMONG FEMALE COLLEGE STUDENTSIn a...Ch. 6.2 - Prob. 39ECh. 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 - Prob. 45ECh. 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. 49ECh. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 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 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - SERIAL NUMBERS Computers manufactured by a certain...Ch. 6.3 - COMPUTER DATING A computer dating service uses the...Ch. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 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. 35ECh. 6.3 - In Exercises 35 and 36, 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 - Prob. 6ECh. 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 - Prob. 40ECh. 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 - MANAGEMENT DECISIONS Weaver and Kline, a stock...Ch. 6.4 - CAR POOLS A company car that has a seating...Ch. 6.4 - TRAVEL WARDROBE Kaylee is planning a wardrobe for...Ch. 6.4 - Criminology The town of Carson employs 15 police...Ch. 6.4 - Prob. 57ECh. 6.4 - CONCERT SEATING In how many ways can four married...Ch. 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. 63ECh. 6.4 - JURY SELECTION In how many different ways can a...Ch. 6.4 - Prob. 65ECh. 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. 71ECh. 6.4 - Prob. 72ECh. 6.4 - Prob. 73ECh. 6.4 - Prob. 74ECh. 6.4 - Prob. 75ECh. 6.4 - Prob. 76ECh. 6.4 - Prob. 77ECh. 6.4 - Prob. 78ECh. 6.4 - Prob. 79ECh. 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. 82ECh. 6.4 - Prob. 83ECh. 6.4 - Prob. 84ECh. 6.4 - Prob. 87ECh. 6.4 - Prob. 88ECh. 6.4 - Prob. 89ECh. 6.4 - Prob. 90ECh. 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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