Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 6, Problem 12RE
To determine
To calculate: The formula for cardinality rule and calculate the number of students in both A and B where there are
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
2. Let, a, = 3, a, = 4 and for n 3, a, = 2a,-1+ an-2 + 5, express a, in terms of n.
PlZ answer correctly asap
With a short time remaining in the day, a delivery driver has time to make deliveries at 4 locations among the 6 locations remaining. How many different routes are possible?
There are possible different routes.
(Simplify your answer.)
Chapter 6 Solutions
Finite Mathematics
Ch. 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. 7ECh. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 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 - In Exercises 1720, draw a Venn diagram that...Ch. 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 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 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 - In Exercises 3542, A={small,medium,large},...Ch. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - In Exercises 3542, A={small,medium,large},...Ch. 6.1 - Prob. 41ECh. 6.1 - In Exercises 3542, A={small,medium,large},...Ch. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Let A={H, T} be the set of outcomes when a coin is...Ch. 6.1 - Let A={H, T} be the set of outcomes when a coin is...Ch. 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 - Prob. 53ECh. 6.1 - Prob. 54ECh. 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 - Databases A freelance computer consultant keeps a...Ch. 6.1 - Prob. 62ECh. 6.1 - Prob. 63ECh. 6.1 - Prob. 64ECh. 6.1 - Databases A freelance computer consultant keeps a...Ch. 6.1 - Databases A freelance computer consultant keeps a...Ch. 6.1 - Prob. 67ECh. 6.1 - Databases A freelance computer consultant keeps a...Ch. 6.1 - Prob. 71ECh. 6.1 - You sell two models of music players: the yoVaina...Ch. 6.1 - Prob. 73ECh. 6.1 - Prob. 74ECh. 6.1 - Prob. 75ECh. 6.1 - Prob. 76ECh. 6.1 - Prob. 77ECh. 6.1 - Prob. 78ECh. 6.1 - Prob. 79ECh. 6.1 - Prob. 80ECh. 6.1 - Prob. 81ECh. 6.1 - Prob. 82ECh. 6.1 - When this book was being written, the copy editor...Ch. 6.1 - When an older version of this book was being...Ch. 6.2 - Let A={Drink,Johan,Frans,Sarie},...Ch. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Let A={Drink,Johan,Frans,Sarie},...Ch. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - Let A={H,T},B={1,2,3,4,5,6}, and...Ch. 6.2 - Let A={H,T},B={1,2,3,4,5,6}, and...Ch. 6.2 - Prob. 11ECh. 6.2 - Prob. 12ECh. 6.2 - Prob. 13ECh. 6.2 - Let A={H,T},B={1,2,3,4,5,6}, and...Ch. 6.2 - If n(A)=43,n(B)=20, and n(AB)=3, find n(AB).Ch. 6.2 - If n(A)=60, n(B)=20, and n(AB)=1 find n(AB).Ch. 6.2 - If n(AB)=100andn(A)=n(B)=60, fi0nd n(AB).Ch. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - In Exercises 2730, use the given information to...Ch. 6.2 - In Exercises 2730, use the given information to...Ch. 6.2 - Prob. 30ECh. 6.2 - Web Searches In November 2011 a search using the...Ch. 6.2 - Web Searches In November 2011 a search using the...Ch. 6.2 - Amusement On a particularly boring transatlantic...Ch. 6.2 - Restaurant Menus While scanning through the...Ch. 6.2 - Mobile Gamers Of a total of 132 million mobile...Ch. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - Prob. 44ECh. 6.2 - Housing Starts Exercises 4348 are based on the...Ch. 6.2 - Housing Starts Exercises 4348 are based on the...Ch. 6.2 - Housing Starts Exercises 4348 are based on the...Ch. 6.2 - Prob. 48ECh. 6.2 - Prob. 49ECh. 6.2 - Stocks Exercises 4954 are based on the following...Ch. 6.2 - Stocks Exercises 4954 are based on the following...Ch. 6.2 - Stocks Exercises 4954 are based on the following...Ch. 6.2 - Stocks Exercises 4954 are based on the following...Ch. 6.2 - Stocks Exercises 4954 are based on the following...Ch. 6.2 - Medicine In a study of Tibetan children,10 a total...Ch. 6.2 - Prob. 56ECh. 6.2 - Entertainment According to a survey of 100 people...Ch. 6.2 - Athletics Of the 4,700 students at Medium Suburban...Ch. 6.2 - Entertainment In a survey of 100 Enormous State...Ch. 6.2 - Entertainment Refer back to Exercise 59. You are...Ch. 6.2 - Prob. 61ECh. 6.2 - Prob. 62ECh. 6.2 - Why is the Cartesian product referred to as a...Ch. 6.2 - Prob. 64ECh. 6.2 - Prob. 65ECh. 6.2 - Prob. 66ECh. 6.2 - Prob. 67ECh. 6.2 - Prob. 68ECh. 6.2 - Prob. 69ECh. 6.2 - Prob. 70ECh. 6.2 - Prob. 71ECh. 6.2 - Prob. 72ECh. 6.3 - An experiment requires a choice among three...Ch. 6.3 - Prob. 2ECh. 6.3 - An experiment requires a sequence of three steps....Ch. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - How many different four-letter sequences can be...Ch. 6.3 - How many different five-letter sequences can be...Ch. 6.3 - Ice Cream When Baskin-Robbins was founded in 1945,...Ch. 6.3 - Ice Cream At the beginning of 2002, Baskin-Robbins...Ch. 6.3 - Binary Codes A binary digit, or bit, is either 0...Ch. 6.3 - Ternary Codes A ternary digit is either 0, 1, or...Ch. 6.3 - Ternary Codes A ternary digit is either 0, 1, or...Ch. 6.3 - Binary Codes A binary digit, or bit, is either 0...Ch. 6.3 - Reward While selecting candy for students in his...Ch. 6.3 - Productivity Professor Oger must choose between an...Ch. 6.3 - Prob. 23ECh. 6.3 - Radar Detectors Radar detectors are either powered...Ch. 6.3 - Multiple-Choice Tests Professor Easys final...Ch. 6.3 - Multiple-Choice Tests Professor Toughs final...Ch. 6.3 - Tests A test requires that you answer either Part...Ch. 6.3 - Tests A test requires that you answer first Part A...Ch. 6.3 - Stock Portfolios Your broker has suggested that...Ch. 6.3 - Menus The local diner offers a meal combination...Ch. 6.3 - Prob. 31ECh. 6.3 - Computer Codes Some written languages, such as...Ch. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Variables in Visual Basic A variable name in the...Ch. 6.3 - Prob. 36ECh. 6.3 - Tournaments How many ways are there of filling in...Ch. 6.3 - Tournaments How many ways are there of filling in...Ch. 6.3 - Telephone Numbers Suppose a telephone number...Ch. 6.3 - Social Security Numbers A Social Security Number...Ch. 6.3 - Credit Card Numbers The vast majority of Visa and...Ch. 6.3 - Credit Card Numbers Credit cards issued by...Ch. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - HTML Colors in HTML (the language in which many...Ch. 6.3 - Telephone Numbers In the past, a local telephone...Ch. 6.3 - Prob. 47ECh. 6.3 - Prob. 48ECh. 6.3 - Prob. 49ECh. 6.3 - License Plates17 License plates in Montana have a...Ch. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - Car Engines Repeat Exercise 53 for an...Ch. 6.3 - Minimalist Art You are exhibiting your collection...Ch. 6.3 - Prob. 56ECh. 6.3 - Product Design Your company has patented an...Ch. 6.3 - Product Design Your company has patented an...Ch. 6.3 - Calendars The World Almanac19 features a perpetual...Ch. 6.3 - Calendars How many possible calendars are there...Ch. 6.3 - Prob. 61ECh. 6.3 - Programming in Java Script (Some programming...Ch. 6.3 - Prob. 63ECh. 6.3 - Prob. 64ECh. 6.3 - Morse Code In Morse code, each letter of the...Ch. 6.3 - Numbers How many odd numbers between 10 and 99...Ch. 6.3 - Prob. 67ECh. 6.3 - Prob. 68ECh. 6.3 - Prob. 69ECh. 6.3 - Prob. 70ECh. 6.3 - Prob. 71ECh. 6.3 - Find an interesting application that requires a...Ch. 6.4 - In Exercises 116, evaluate the number. [HINT: See...Ch. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - In Exercises 116, evaluate the number. [HINT: See...Ch. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - In Exercises 116, evaluate the number. [HINT: See...Ch. 6.4 - Prob. 9ECh. 6.4 - In Exercises 116, evaluate the number. [HINT: See...Ch. 6.4 - Prob. 11ECh. 6.4 - In Exercises 116, evaluate the number. [HINT: See...Ch. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - In Exercises 116, evaluate the number. [HINT: See...Ch. 6.4 - Prob. 16ECh. 6.4 - How many ordered lists are there of four items...Ch. 6.4 - How many ordered sequences are possible that...Ch. 6.4 - Prob. 19ECh. 6.4 - How many unordered sets are there of four items...Ch. 6.4 - Prob. 21ECh. 6.4 - How many six-letter sequences are possible that...Ch. 6.4 - Prob. 23ECh. 6.4 - How many three-letter sequences are possible that...Ch. 6.4 - How many three-letter (unordered) sets are...Ch. 6.4 - How many three-letter (unordered) sets are...Ch. 6.4 - Prob. 27ECh. 6.4 - How many six-letter sequences are possible that...Ch. 6.4 - Marbles For Exercises 2942, a bag contains three...Ch. 6.4 - Marbles For Exercises 2942, a bag contains three...Ch. 6.4 - Prob. 31ECh. 6.4 - Marbles For Exercises 2942, a bag contains three...Ch. 6.4 - Prob. 33ECh. 6.4 - Marbles For Exercises 2942, a bag contains three...Ch. 6.4 - Marbles For Exercises 2942, a bag contains three...Ch. 6.4 - Prob. 36ECh. 6.4 - Marbles For Exercises 2942, a bag contains three...Ch. 6.4 - Prob. 38ECh. 6.4 - Marbles For Exercises 2942, a bag contains three...Ch. 6.4 - Marbles For Exercises 2942, a bag contains three...Ch. 6.4 - Marbles For Exercises 2942, a bag contains three...Ch. 6.4 - Marbles For Exercises 2942, a bag contains three...Ch. 6.4 - Dice If a die is rolled 30 times, there are 630...Ch. 6.4 - Dice If a die is rolled 30 times, there are 630...Ch. 6.4 - Dice If a die is rolled 30 times, there are 630...Ch. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - In Exercises 4752, calculate how many different...Ch. 6.4 - In Exercises 4752, calculate how many different...Ch. 6.4 - In Exercises 4752, calculate how many different...Ch. 6.4 - In Exercises 4752, calculate how many different...Ch. 6.4 - Prob. 52ECh. 6.4 - Itineraries Your international diplomacy trip...Ch. 6.4 - Itineraries Refer back to Exercise 53. How many...Ch. 6.4 - Poker Hands A poker hand consists of 5 cards from...Ch. 6.4 - Prob. 56ECh. 6.4 - Poker Hands A poker hand consists of 5 cards from...Ch. 6.4 - Prob. 58ECh. 6.4 - Poker Hands A poker hand consists of 5 cards from...Ch. 6.4 - Poker Hands A poker hand consists of 5 cards from...Ch. 6.4 - Dogs of the Dow The Dogs of the Dow are the stocks...Ch. 6.4 - Dogs of the Dow The Dogs of the Dow are the stocks...Ch. 6.4 - Prob. 63ECh. 6.4 - Day Trading Day traders typically buy and sell...Ch. 6.4 - Elimination Tournaments In an elimination...Ch. 6.4 - Elimination Tournaments In an elimination...Ch. 6.4 - Prob. 67ECh. 6.4 - Prob. 68ECh. 6.4 - Prob. 69ECh. 6.4 - Prob. 70ECh. 6.4 - Traveling Salesperson Suppose you are a...Ch. 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 - Prob. 80ECh. 6.4 - Prob. 81ECh. 6.4 - Prob. 82ECh. 6.4 - Prob. 83ECh. 6.4 - Which of the following represent combinations? (A)...Ch. 6.4 - Prob. 85ECh. 6.4 - Prob. 86ECh. 6.4 - Prob. 87ECh. 6.4 - Prob. 88ECh. 6.4 - Prob. 89ECh. 6.4 - Prob. 90ECh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - In Exercises 1924, consider a bag containing four...Ch. 6 - Prob. 21RECh. 6 - In Exercises 1924, consider a bag containing four...Ch. 6 - In Exercises 1924, consider a bag containing four...Ch. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Inventories OHaganBooks.com currently operates...Ch. 6 - Inventories OHaganBooks.com currently operates...Ch. 6 - Inventories OHaganBooks.com currently operates...Ch. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Customers OHaganBooks.com has two main...Ch. 6 - Online IDs As the customer base at OHaganBooks.com...Ch. 6 - Prob. 38RECh. 6 - Online IDs As the customer base at OHaganBooks.com...Ch. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- find a formula for a, for the arithmetic sequence.arrow_forwardA What is the next step in this construction? P.arrow_forwardA 100-page document is being printed by four printers. Each page will be printed exactly once. Suppose that the first and the last page of the document must be printed in color, and only two printers are able to print in color. The two color printers can also print black-and-white. How many ways are there for the 100 pages to be assigned to the four printers. Hint: Use the product rule.arrow_forward
- How many different signals can be sent, when three flags are used, if two of the 9 flags are missing?arrow_forwardThere are 10 applicants for three sales positions at a department store. All of the applicants are qualified. In how many ways can the department store fill the three positions?arrow_forwardA 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?arrow_forward
- In Example 10, the team must consist of six boys and six girls. How many different 12-member teams are possible?arrow_forwardAnswer 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?arrow_forwardA basket holds a set of balls. Each ball is red, green, or blue. How many balls must there be in the basket in order to guarantee that there are at least 5 balls of the same color?arrow_forward
- A TV director is scheduling a certain sponsor’s commercials for an upcoming broadcast . There are six slots available for commercials . In how many ways may the director schedule the commercials if the sponsor has six different commercials , each to be shown once ?arrow_forwardAssume that the candle manufacturer has 7 types of round candles and 5 types of square candles available, and a gift set consists of 5 round and 2 square candles. How many different gift packages are possible?arrow_forwardSuppose there were 500 nurses graduating this year. Assume that 400 were registered nurses (RN), and 309 of those RNs plan to work in hospitals. Only 32 of the nurses who plan to work in other medical care facilities are NOT registered nurses. Venn Diagrammsarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
What is a Linear Equation in One Variable?; Author: Don't Memorise;https://www.youtube.com/watch?v=lDOYdBgtnjY;License: Standard YouTube License, CC-BY
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY