Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN: 9781305071742
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 14.CT, Problem 7CT
An anagram of a word is a rearrangement of the letters of the word.
(a) | How many anagrams of the word LOVE are possible? |
(b) | How many different anagrams of the word KISSES are possible? |
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
How long is a guy wire reaching from the top of a
15-foot pole to a point on the ground
9-feet from the pole?
Question content area bottom
Part 1
The guy wire is exactly
feet long.
(Type an exact answer, using radicals as needed.)
Part 2
The guy wire is approximatelyfeet long.
(Round to the nearest thousandth.)
Question 6
Not yet
answered
Marked out of
5.00
Flag question
=
If (4,6,-11) and (-12,-16,4),
=
Compute the cross product vx w
k
Consider the following vector field v^-> (x,y):
v^->(x,y)=2yi−xj
What is the magnitude of the vector v⃗ located in point (13,9)?
[Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places]
Chapter 14 Solutions
Algebra and Trigonometry (MindTap Course List)
Ch. 14.1 - CONCEPTS The Fundamental Counting Principle says...Ch. 14.1 - CONCEPTS The number of ways of arranging r objects...Ch. 14.1 - Prob. 3ECh. 14.1 - Prob. 4ECh. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - Prob. 10E
Ch. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Rolling a Pair of Dice A red die and a white die...Ch. 14.1 - Prob. 27ECh. 14.1 - Choosing Outfits A girl has five skirts, eight...Ch. 14.1 - License Plate Standard automobile license plates...Ch. 14.1 - ID Numbers A companys employee ID number system...Ch. 14.1 - Prob. 31ECh. 14.1 - Prob. 32ECh. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Prob. 37ECh. 14.1 - Prob. 38ECh. 14.1 - Prob. 39ECh. 14.1 - Prob. 40ECh. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - Prob. 43ECh. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - 41-52 Counting Permutations These exercises...Ch. 14.1 - Prob. 49ECh. 14.1 - 41-52 Counting Permutations These exercises...Ch. 14.1 - Prob. 51ECh. 14.1 - Prob. 52ECh. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - 53-56 Distinguishable Permutations These exercises...Ch. 14.1 - 53-56 Distinguishable Permutations These exercises...Ch. 14.1 - Prob. 57ECh. 14.1 - Room Assignments When seven students take a trip,...Ch. 14.1 - Work Assignments Eight workers are cleaning a...Ch. 14.1 - Prob. 60ECh. 14.1 - Prob. 61ECh. 14.1 - Prob. 62ECh. 14.1 - Prob. 63ECh. 14.1 - Prob. 64ECh. 14.1 - Prob. 65ECh. 14.1 - Prob. 66ECh. 14.1 - Prob. 67ECh. 14.1 - Prob. 68ECh. 14.1 - Prob. 69ECh. 14.1 - Prob. 70ECh. 14.1 - Prob. 71ECh. 14.1 - APPLICATIONS 61-74 CombinationsThese exercises...Ch. 14.1 - APPLICATIONS 61-74 CombinationsThese exercises...Ch. 14.1 - APPLICATIONS 61-74 CombinationsThese exercises...Ch. 14.1 - Prob. 75ECh. 14.1 - Prob. 76ECh. 14.1 - APPLICATIONS 75-90 Counting PrinciplesSolve these...Ch. 14.1 - Prob. 78ECh. 14.1 - Dance Committee A school dance committee is to...Ch. 14.1 - Prob. 80ECh. 14.1 - Hockey Lineup A hockey team has 20 players, of...Ch. 14.1 - Choosing a Pizza A pizza parlour offers four sizes...Ch. 14.1 - Choosing a Committee In how many ways can a...Ch. 14.1 - Prob. 84ECh. 14.1 - Arranging Books In how many ways can five...Ch. 14.1 - Prob. 86ECh. 14.1 - Seating ArrangementsIn how many ways can four men...Ch. 14.1 - Prob. 88ECh. 14.1 - Prob. 89ECh. 14.1 - Choosing a Delegation Three delegates are to be...Ch. 14.1 - DISCUSS: Pair of InitialsExplain why in any group...Ch. 14.1 - Prob. 92ECh. 14.1 - Prob. 93ECh. 14.1 - Prob. 94ECh. 14.2 - The set of all possible outcomes of an experiment...Ch. 14.2 - Let E and F be events in a sample space S. aThe...Ch. 14.2 - The conditional probability of E given that F...Ch. 14.2 - Let E and F be events in a sample space S. aThe...Ch. 14.2 - Rolling a Die An experiment consists of rolling a...Ch. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Three CDs are picked at random from a collection...Ch. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - Prob. 27ECh. 14.2 - Prob. 28ECh. 14.2 - 29-30 Refer to the spinner in Exercises 2122. Find...Ch. 14.2 - 29-30 Refer to the spinner in Exercises 2122. Find...Ch. 14.2 - Prob. 31ECh. 14.2 - 31-32 A jar contains five red balls numbered 1 to...Ch. 14.2 - Prob. 33ECh. 14.2 - 33-40 Intersection of Events These exercises...Ch. 14.2 - Prob. 35ECh. 14.2 - Prob. 36ECh. 14.2 - Prob. 37ECh. 14.2 - Prob. 38ECh. 14.2 - 39-40 Spinners A and B shown in the figure are...Ch. 14.2 - 39-40 Spinners A and B shown in the figure are...Ch. 14.2 - Four Siblings A couple intends to have four...Ch. 14.2 - Prob. 42ECh. 14.2 - Roulette An American roulette wheel has 38 slots....Ch. 14.2 - Prob. 44ECh. 14.2 - Lottery In the 6/49 lottery game, a player selects...Ch. 14.2 - Prob. 46ECh. 14.2 - Prob. 47ECh. 14.2 - Quality Control To control the quality of their...Ch. 14.2 - Prob. 49ECh. 14.2 - Making Words A monkey is trained to arrange wooden...Ch. 14.2 - Prob. 51ECh. 14.2 - Prob. 52ECh. 14.2 - Prob. 53ECh. 14.2 - Prob. 54ECh. 14.2 - APPLICATIONS Roulette An American roulette wheel...Ch. 14.2 - APPLICATIONS Choosing a Committee A committee of...Ch. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.2 - Prob. 59ECh. 14.2 - Prob. 60ECh. 14.2 - Prob. 61ECh. 14.2 - Prob. 62ECh. 14.2 - Prob. 63ECh. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.2 - APPLICATIONS Making Words A monkey is trained to...Ch. 14.2 - APPLICATIONS Making WordsA monkey is trained to...Ch. 14.2 - Prob. 68ECh. 14.3 - CONCEPTS A binomial experiment is one in which...Ch. 14.3 - Prob. 2ECh. 14.3 - Prob. 3ECh. 14.3 - Prob. 4ECh. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - SKILLS 3-14Binomial Trials Five independent trials...Ch. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - SKILLS 15-16 Probability Distribution An...Ch. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Prob. 19ECh. 14.3 - Prob. 20ECh. 14.3 - Prob. 21ECh. 14.3 - ArcheryAn archer hits his target 80 of the time....Ch. 14.3 - Prob. 23ECh. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Prob. 28ECh. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - Defective Light Bulbs The Dim Bulb Lighting...Ch. 14.3 - Prob. 32ECh. 14.3 - Prob. 33ECh. 14.3 - Political Surveys In a certain county, 60 of the...Ch. 14.3 - Prob. 35ECh. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Selecting CardsThree cards are randomly selected...Ch. 14.3 - Prob. 39ECh. 14.3 - Telephone Marketing A mortgage company advertises...Ch. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Prob. 43ECh. 14.4 - CONCEPTS 1. If a game gives payoffs of 10 and 100...Ch. 14.4 - Prob. 2ECh. 14.4 - Prob. 3ECh. 14.4 - Prob. 4ECh. 14.4 - Prob. 5ECh. 14.4 - Prob. 6ECh. 14.4 - Prob. 7ECh. 14.4 - Prob. 8ECh. 14.4 - Prob. 9ECh. 14.4 - Prob. 10ECh. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.4 - Prob. 14ECh. 14.4 - Prob. 15ECh. 14.4 - Prob. 16ECh. 14.4 - Prob. 17ECh. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Prob. 23ECh. 14.4 - Prob. 24ECh. 14.4 - Prob. 25ECh. 14.4 - Prob. 26ECh. 14.4 - Prob. 27ECh. 14.4 - Prob. 28ECh. 14.4 - Prob. 29ECh. 14.4 - Prob. 30ECh. 14.4 - DISCUSSDISCOVERPROVEWRITE DISCUSS: The Expected...Ch. 14.CR - a What does the Fundamental Counting Principle...Ch. 14.CR - Prob. 2CCCh. 14.CR - a What is a combination of r elements of a set?...Ch. 14.CR - a In solving a problem involving picking r objects...Ch. 14.CR - a What is meant by an experiment? Sample space? b...Ch. 14.CR - Prob. 6CCCh. 14.CR - a What is meant by the conditional probability of...Ch. 14.CR - Prob. 8CCCh. 14.CR - a Suppose that a game gives payouts a1,a2,...,an...Ch. 14.CR - Prob. 1ECh. 14.CR - Prob. 2ECh. 14.CR - Prob. 3ECh. 14.CR - Prob. 4ECh. 14.CR - 1-24 Counting These exercises involve counting....Ch. 14.CR - Prob. 6ECh. 14.CR - Prob. 7ECh. 14.CR - Prob. 8ECh. 14.CR - Prob. 9ECh. 14.CR - Prob. 10ECh. 14.CR - Prob. 11ECh. 14.CR - Prob. 12ECh. 14.CR - Prob. 13ECh. 14.CR - Prob. 14ECh. 14.CR - Prob. 15ECh. 14.CR - Prob. 16ECh. 14.CR - Prob. 17ECh. 14.CR - Prob. 18ECh. 14.CR - Prob. 19ECh. 14.CR - Prob. 20ECh. 14.CR - Prob. 21ECh. 14.CR - Prob. 22ECh. 14.CR - 1-24 Counting These exercises involve counting....Ch. 14.CR - Prob. 24ECh. 14.CR - Prob. 25ECh. 14.CR - Prob. 26ECh. 14.CR - Prob. 27ECh. 14.CR - Prob. 28ECh. 14.CR - Prob. 29ECh. 14.CR - Prob. 30ECh. 14.CR - Prob. 31ECh. 14.CR - Prob. 32ECh. 14.CR - Prob. 33ECh. 14.CR - Prob. 34ECh. 14.CR - Prob. 35ECh. 14.CR - 25-42 ProbabilityThese exercises involve...Ch. 14.CR - Prob. 37ECh. 14.CR - Prob. 38ECh. 14.CR - Prob. 39ECh. 14.CR - Prob. 40ECh. 14.CR - Prob. 41ECh. 14.CR - Prob. 42ECh. 14.CR - Prob. 43ECh. 14.CR - Prob. 44ECh. 14.CR - Prob. 45ECh. 14.CR - Prob. 46ECh. 14.CR - Prob. 47ECh. 14.CR - Prob. 48ECh. 14.CR - Prob. 49ECh. 14.CR - Prob. 50ECh. 14.CT - Alice and Bill have four grandchildren, and they...Ch. 14.CT - A hospital cafeteria offers a fixed-price lunch...Ch. 14.CT - An Internet service provider requires its customer...Ch. 14.CT - Over the past year, John has purchased 30 books. a...Ch. 14.CT - A commuter must travel from Ajax to Barrie and...Ch. 14.CT - Prob. 6CTCh. 14.CT - An anagram of a word is a rearrangement of the...Ch. 14.CT - A board of directors consisting of eight members...Ch. 14.CT - Prob. 9CTCh. 14.CT - A jar contains five red balls, numbered 1 to 5,...Ch. 14.CT - Three people are chosen at random from a group of...Ch. 14.CT - Prob. 12CTCh. 14.CT - 13. In a group of four students, what is the...Ch. 14.CT - An unbalanced coin weighted so that the...Ch. 14.CT - Prob. 15CTCh. 14.FOM - Prob. 1PCh. 14.FOM - Prob. 2PCh. 14.FOM - Dividing a JackpotA game between two players...Ch. 14.FOM - Prob. 5PCh. 14.FOM - Areas of Curved Regions The Monte Carlo method can...Ch. 14.FOM - Prob. 7P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- Question 4 Find the value of the first element for the first row of the inverse matrix of matrix B. 3 Not yet answered B = Marked out of 5.00 · (³ ;) Flag question 7 [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places] Answer:arrow_forwardQuestion 2 Not yet answered Multiply the following Matrices together: [77-4 A = 36 Marked out of -5 -5 5.00 B = 3 5 Flag question -6 -7 ABarrow_forwardAssume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the abovearrow_forward
- Select the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the abovearrow_forwardWhich of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward
- (20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forwardFind the perimeter and areaarrow_forwardAssume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forward
- Assume {u1, U2, 13, 14} spans R³. Select the best statement. A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set. B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector. C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set. D. {U1, U2, us} always spans R³. E. {U1, U2, u3} may, but does not have to, span R³. F. none of the abovearrow_forwardLet H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. Select an Answer u = 3 1. -10 8-8 -2 ,v= 5 Select an Answer -2 u = 3 4 2. + 9 ,v= 6arrow_forwardSolve for the matrix X: X (2 7³) x + ( 2 ) - (112) 6 14 8arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
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