Mathematics All Around Plus MyLab Math -- Title-Specific Access Card Package (6th Edition)
6th Edition
ISBN: 9780134800165
Author: Tom Pirnot
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 12.2, Problem 42E
To determine
To explain:
The reason for that the number of possible ways cannot be determined by using the fundamental counting principle for the problems in Exercise.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In the New York state lottery game “Lotto” a player wins the grand prize by choosing the same group of 6 numbers from 1 through 59 as is chosen by the computer. How many 6-number groups are possible?
An experiment involves tossing five coins. How many elements are there in the domain?
Consider a horse race with 8 horses. Explain how the fundamental principle of counting or the permutation rule can be used to determine the number of first-, second-, and third-place arrangements
Chapter 12 Solutions
Mathematics All Around Plus MyLab Math -- Title-Specific Access Card Package (6th Edition)
Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - In Exercises 14, you are selecting from the set...Ch. 12.1 - Prob. 5ECh. 12.1 - Prob. 6ECh. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - How many different two-digit numbers can you form...Ch. 12.1 - How many different two-digit numbers can you form...
Ch. 12.1 - How many different three-digit numbers can you...Ch. 12.1 - How many different three-digit numbers can you...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - In Exercises 1318, assume you are rolling two...Ch. 12.1 - Recall in Example 6 that you are creating outfits...Ch. 12.1 - Recall in Example 6 that you are creating outfits...Ch. 12.1 - Use the given diagram to solve Exercises 21 and...Ch. 12.1 - Use the given diagram to solve Exercises 21 and...Ch. 12.1 - Answer Exercise 21 assuming the diagram has six...Ch. 12.1 - Prob. 24ECh. 12.1 - Assigning tasks. Stefans friends Amika, Pam, Li,...Ch. 12.1 - Making staff assignments. Suppose that the staff...Ch. 12.1 - Prob. 27ECh. 12.1 - Prob. 28ECh. 12.1 - The role-playing game Dungeons & Dragons uses a...Ch. 12.1 - Dungeons & Dragons also uses 12-sided dice. How...Ch. 12.1 - Counting license plates. An eyewitness to a crime...Ch. 12.1 - Counting license plates. In a small state, the...Ch. 12.1 - For Exercises 33 and 34, use the figures below....Ch. 12.1 - For Exercises 33 and 34, use the figures below....Ch. 12.1 - Prince William and Duchess Kate are attending the...Ch. 12.1 - Prince William and Duchess Kate are attending the...Ch. 12.1 - Prob. 37ECh. 12.1 - Prob. 38ECh. 12.1 - Stacking cans. In preparation for Thanksgiving...Ch. 12.1 - Prob. 40ECh. 12.1 - In Exercises 4144, you are buying a triple-deck...Ch. 12.1 - In Exercises 4144, you are buying a triple-deck...Ch. 12.1 - In Exercises 4144, you are buying a triple-deck...Ch. 12.1 - In Exercises 4144, you are buying a triple-deck...Ch. 12.1 - Prob. 45ECh. 12.1 - Prob. 46ECh. 12.1 - Prob. 47ECh. 12.1 - Prob. 49ECh. 12.1 - Prob. 50ECh. 12.1 - Prob. 51ECh. 12.1 - Prob. 52ECh. 12.1 - Prob. 53ECh. 12.1 - Prob. 54ECh. 12.1 - Prob. 55ECh. 12.1 - Prob. 56ECh. 12.1 - Prob. 57ECh. 12.1 - Prob. 58ECh. 12.1 - Prob. 59ECh. 12.2 - Assigning responsibilities. The board of an...Ch. 12.2 - Assigning positions. If there are 12 members on...Ch. 12.2 - Assigning officers. The Equestrian Club has eight...Ch. 12.2 - Assigning officers. If the Chamber of Commerce has...Ch. 12.2 - Choosing a stand up paddle board package. Kevin...Ch. 12.2 - Counting schedules. Jorge is using his educational...Ch. 12.2 - Counting meal possibilities. The early bird...Ch. 12.2 - Prob. 8ECh. 12.2 - In games such as Dungeons 12, determine the number...Ch. 12.2 - In games such as Dungeons 12, determine the number...Ch. 12.2 - In games such as Dungeons 12, determine the number...Ch. 12.2 - In games such as Dungeons 12, determine the number...Ch. 12.2 - In Exercises 1316, using the digits 0,1,2,...,8,9,...Ch. 12.2 - In Exercises 1316, using the digits 0,1,2,...,8,9,...Ch. 12.2 - In Exercises 1316, using the digits 0,1,2,...,8,9,...Ch. 12.2 - Prob. 16ECh. 12.2 - A truefalse quiz. In how many ways can you choose...Ch. 12.2 - A multiple-choice test. In how many ways can you...Ch. 12.2 - Planning a trip. Center City Community Colleges...Ch. 12.2 - A piano competition. In the Van Cliburn piano...Ch. 12.2 - Enumerating call letters. Radio stations in the...Ch. 12.2 - Prob. 22ECh. 12.2 - Prob. 23ECh. 12.2 - Counting license plates. In a certain state,...Ch. 12.2 - A pin tumbler lock has a series of pins, each of...Ch. 12.2 - A pin tumbler lock has a series of pins, each of...Ch. 12.2 - Counting routes for an armored van. A Wells Fargo...Ch. 12.2 - Prob. 28ECh. 12.2 - Prob. 29ECh. 12.2 - Facial arrangements. A website enables you to...Ch. 12.2 - Prob. 31ECh. 12.2 - Prob. 32ECh. 12.2 - Exercises 33 and 34 are alternative versions of...Ch. 12.2 - Prob. 34ECh. 12.2 - Prob. 35ECh. 12.2 - Assume that we wish to seat three men and three...Ch. 12.2 - Assume that we wish to seat three men and three...Ch. 12.2 - Assume that we wish to seat three men and three...Ch. 12.2 - In solving counting problems, it is often useful...Ch. 12.2 - What is the relationship between trees, slot...Ch. 12.2 - Prob. 41ECh. 12.2 - Prob. 42ECh. 12.2 - Prob. 43ECh. 12.2 - Prob. 44ECh. 12.2 - Prob. 45ECh. 12.2 - Prob. 46ECh. 12.2 - Prob. 47ECh. 12.2 - Prob. 48ECh. 12.2 - Prob. 49ECh. 12.3 - In Exercises 112, calculate each value. 4!Ch. 12.3 - Prob. 2ECh. 12.3 - In Exercises 112, calculate each value. (85)!Ch. 12.3 - In Exercises 112, calculate each value. (105)!Ch. 12.3 - In Exercises 112, calculate each value. 107Ch. 12.3 - In Exercises 112, calculate each value. 119Ch. 12.3 - Prob. 7ECh. 12.3 - In Exercises 112, calculate each value. 1192Ch. 12.3 - In Exercises 112, calculate each value. P(6,2)Ch. 12.3 - In Exercises 112, calculate each value. P(5,3)Ch. 12.3 - In Exercises 112, calculate each value. C(10,3)Ch. 12.3 - In Exercises 112, calculate each value. C(4,4)Ch. 12.3 - Prob. 13ECh. 12.3 - Prob. 14ECh. 12.3 - In Exercises 1518 find the number of permutations....Ch. 12.3 - In Exercises 1518 find the number of permutations....Ch. 12.3 - In Exercises 1518 find the number of permutations....Ch. 12.3 - In Exercises 1518 find the number of permutations....Ch. 12.3 - In Exercises 1922, find the number of...Ch. 12.3 - Prob. 20ECh. 12.3 - In Exercises 1922, find the number of...Ch. 12.3 - Prob. 22ECh. 12.3 - Find the eighth row in Pascals triangle.Ch. 12.3 - Find the tenth row in Pascals triangle.Ch. 12.3 - Use the seventh row of Pascals triangle to answer...Ch. 12.3 - Prob. 26ECh. 12.3 - Prob. 27ECh. 12.3 - In Exercises 2730, describe where each number is...Ch. 12.3 - Prob. 29ECh. 12.3 - In Exercises 2730, describe where each number is...Ch. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - Prob. 32ECh. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - Prob. 34ECh. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - Prob. 36ECh. 12.3 - Prob. 37ECh. 12.3 - Prob. 38ECh. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - Prob. 42ECh. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - In Exercises 3144, specify the number of ways to...Ch. 12.3 - In Exercises 4548, determine the number of ways to...Ch. 12.3 - Prob. 46ECh. 12.3 - Prob. 47ECh. 12.3 - Prob. 48ECh. 12.3 - In Exercise 49 and 50, determine why the given...Ch. 12.3 - Prob. 50ECh. 12.3 - Prob. 51ECh. 12.3 - A typical bingo card is shown in the figure. The...Ch. 12.3 - Prob. 53ECh. 12.3 - A typical bingo card is shown in the figure. The...Ch. 12.3 - In Exercise 5568, use the fundamental counting...Ch. 12.3 - In Exercise 5568, use the fundamental counting...Ch. 12.3 - In Exercise 5568, use the fundamental counting...Ch. 12.3 - Prob. 58ECh. 12.3 - Prob. 59ECh. 12.3 - Prob. 60ECh. 12.3 - In Exercise 5568, use the fundamental counting...Ch. 12.3 - Prob. 62ECh. 12.3 - Prob. 63ECh. 12.3 - Prob. 64ECh. 12.3 - In Exercise 5568, use the fundamental counting...Ch. 12.3 - Prob. 66ECh. 12.3 - Prob. 67ECh. 12.3 - Prob. 68ECh. 12.3 - Prob. 69ECh. 12.3 - Prob. 70ECh. 12.3 - Prob. 71ECh. 12.3 - Prob. 72ECh. 12.3 - Prob. 73ECh. 12.3 - Prob. 74ECh. 12.3 - Prob. 75ECh. 12.3 - Prob. 76ECh. 12.3 - Prob. 77ECh. 12.3 - Prob. 78ECh. 12.3 - Prob. 79ECh. 12.3 - Prob. 80ECh. 12.3 - Prob. 81ECh. 12.3 - Prob. 82ECh. 12.3 - Prob. 83ECh. 12.3 - Prob. 84ECh. 12.3 - Prob. 85ECh. 12.3 - Prob. 86ECh. 12.3 - Prob. 87ECh. 12.3 - Prob. 88ECh. 12.3 - Prob. 89ECh. 12.4 - Exercises 16 are based on the slot machine shown...Ch. 12.4 - Exercises 16 are based on the slot machine shown...Ch. 12.4 - Exercises 16 are based on the slot machine shown...Ch. 12.4 - Exercises 16 are based on the slot machine shown...Ch. 12.4 - Prob. 5ECh. 12.4 - Exercises 16 are based on the slot machine shown...Ch. 12.4 - Exercises 712 deal with the poker hands described...Ch. 12.4 - Exercises 712 deal with the poker hands described...Ch. 12.4 - Prob. 9ECh. 12.4 - Exercises 712 deal with the poker hands described...Ch. 12.4 - Exercises 712 deal with the poker hands described...Ch. 12.4 - Exercises 712 deal with the poker hands described...Ch. 12.4 - Prob. 13ECh. 12.4 - Why are we using combinations rather than...Ch. 12.4 - Prob. 15ECh. 12.4 - Prob. 16ECh. 12.4 - Playing poker. How many poker hands are less in...Ch. 12.CR - Prob. 1CRCh. 12.CR - The game Dungeons & Dragons uses a tetrahedral die...Ch. 12.CR - Prob. 3CRCh. 12.CR - Prob. 4CRCh. 12.CR - Prob. 5CRCh. 12.CR - Prob. 6CRCh. 12.CR - Prob. 7CRCh. 12.CR - Prob. 8CRCh. 12.CR - Prob. 9CRCh. 12.CR - Prob. 10CRCh. 12.CR - You are going to serve gourmet cupcakes at your...Ch. 12.CR - Prob. 12CRCh. 12.CR - Prob. 13CRCh. 12.CR - Prob. 14CRCh. 12.CR - Prob. 15CRCh. 12.CR - Prob. 16CRCh. 12.CR - Prob. 17CRCh. 12.CT - List all the ways you can select two different...Ch. 12.CT - Prob. 2CTCh. 12.CT - Prob. 3CTCh. 12.CT - Use the sixth row of Pascals triangle to find the...Ch. 12.CT - Prob. 5CTCh. 12.CT - Prob. 6CTCh. 12.CT - Prob. 7CTCh. 12.CT - Prob. 8CTCh. 12.CT - Prob. 9CTCh. 12.CT - Prob. 10CTCh. 12.CT - Prob. 11CTCh. 12.CT - Prob. 12CTCh. 12.CT - Write an equation that relates the expressions...Ch. 12.CT - Prob. 14CTCh. 12.CT - Prob. 15CTCh. 12.CT - Prob. 16CT
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
- In one of its Spring catalogs, a company advertised footwear on 34 of its 200 catalog pages. Suppose we randomly survey 22 pages. We are interested in the number of pages that advertise footwear. Each page may be picked at most once.arrow_forward(a) A psychology study requires a random sample of 12 people from a population of 24. How many possible selections of this size are there?(b) How many 8-bit strings have either 5 1 bits or 6 1 bits in them?arrow_forwardIn the permutation topic, describe the fundamental principle of counting and give a sample illustration.arrow_forward
- [Section 14.2]A group of students is deciding on which month to go to the beach: July(J), August (A), or September (S). Suppose the Borda count method is used to determine a winning month. Is the head-to-head criterion satisfied? Explain.arrow_forwardAn election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?arrow_forwardTwo digits are selected with replacement from the digits 1, 2, 3, and 4. A. How many possibilities are there for the first digit? B.How many possibilities are there for the second digit? C. Use the counting principle to determine the number of elements in the sample space.arrow_forward
- A researcher chose the participants of his study by selecting every 8th member of the population. A researcher interviewed all the teachers in each of 15 randomly selected private schools in Cagayan de Oro City. A researcher interviewed people from each barangay in the municipality of Alubijid for his research on population. A researcher is doing a research work on the students’ reaction to the newly implemented curriculum in mathematics and interviewed every 5th student entering the gate of the school. A researcher randomly selected 15 barangays in a town for her study. She did this by writing the names of each barangay on a piece of paper which she folded and put in a bowl then she draw 15 pieces of paper from the bowl. A researcher selected a sample of from a population of 900 by using the Table of Random Numbers. A researcher interviewed all the nurses in each of the 5 randomly selected private hospitals in Northern Mindanao. A statistician selected a sample of high school students…arrow_forwardIn a group of n women and n men, how many people must be selected at random from the total 2n population to guarantee that a woman and man couple is selected?arrow_forwardAssume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways can the selection be made?arrow_forward
- In a study of preferences in leafcutter ants, a researcher presented 20 randomly chosen ant colonies with leaves from the two most common tree species in the surrounding forest. The leaves were placed in piles of 100, one pile for each tree species, close to colony entrances. Leaves were cut so that each was small enough to be carried by a single ant. After 24 hours, the researcher returned and counted the number of leaves remaining of the original 100 of each species. Some of the results are show in the following table: Tree Species Number of Leaves Removed Spondius mombin 1561 Sapium thelocarpum 851 Total 2412 Can you answer question regarding to this graph pleasearrow_forwardHow many ways to choose 4 out of the 10 candidates to be sent to a conference?arrow_forwardHow many ways are there to select six students from a class of 25 to hold sixdifferent executive positions on a committee?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Find number of persons in a part with 66 handshakes Combinations; Author: Anil Kumar;https://www.youtube.com/watch?v=33TgLi-wp3E;License: Standard YouTube License, CC-BY
Discrete Math 6.3.1 Permutations and Combinations; Author: Kimberly Brehm;https://www.youtube.com/watch?v=J1m9sB5XZQc;License: Standard YouTube License, CC-BY
How to use permutations and combinations; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=NEGxh_D7yKU;License: Standard YouTube License, CC-BY
Permutations and Combinations | Counting | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=0NAASclUm4k;License: Standard Youtube License
Permutations and Combinations Tutorial; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=XJnIdRXUi7A;License: Standard YouTube License, CC-BY