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
Videos
Question
Chapter 14.1, Problem 42E
To determine
To find:
The number of three letter words can be made from the letters FGHIJK.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
@when ever one Point sets in x are
closed a collection of functions which
separates Points from closed set
will separates Point.
18 (prod) is product topological
space then VaeA (xx, Tx) is homeomorphic
to sul space of the Product space
(Txa, prod).
KeA
© The Bin Projection map
B: Tx XP is continuous and open
but heed hot to be closed.
A collection (SEA) of continuos function
oha topolgical Space X se partes Points
from closed sets inx iff the set (v)
for KEA and Vopen set in Xx
from a base for top on x.
Simply:(p/(x-a))-(p/(x+a))
Q1lal Let X be an arbitrary infinite set and let r the family of all subsets
F of X which do not contain a particular point x, EX and the
complements F of all finite subsets F of X show that (X.r) is a topology.
bl The nbhd system N(x) at x in a topological space X has the following
properties
NO- N(x) for any xX
N1- If N EN(x) then x€N
N2- If NEN(x), NCM then MeN(x)
N3- If NEN(x), MEN(x) then NOMEN(x)
N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any
уем
Show that there exist a unique topology τ on X.
Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a
topology on X iff for any G open set xEG then there exist A Eẞ such
that x E ACG.
b\Let ẞ is a collection of open sets in X show that is base for a
topology on X iff for each xex the collection B, (BEB\xEB) is is a
nbhd base at x.
-
Q31 Choose only two:
al Let A be a subspace of a space X show that FCA is closed iff
F KOA, K is closed set in X.
الرياضيات
b\ Let X and Y be two topological space and f:X -…
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
- Q1\ Let X be a topological space and let Int be the interior operation defined on P(X) such that 1₁.Int(X) = X 12. Int (A) CA for each A = P(X) 13. Int (int (A) = Int (A) for each A = P(X) 14. Int (An B) = Int(A) n Int (B) for each A, B = P(X) 15. A is open iff Int (A) = A Show that there exist a unique topology T on X. Q2\ Let X be a topological space and suppose that a nbhd base has been fixed at each x E X and A SCX show that A open iff A contains a basic nbdh of each its point Q3\ Let X be a topological space and and A CX show that A closed set iff every limit point of A is in A. A'S A ACA Q4\ If ẞ is a collection of open sets in X show that ẞ is a base for a topology on X iff for each x E X then ẞx = {BE B|x E B} is a nbhd base at x. Q5\ If A subspace of a topological space X, if x Є A show that V is nbhd of x in A iff V = Un A where U is nbdh of x in X.arrow_forward+ Theorem: Let be a function from a topological space (X,T) on to a non-empty set y then is a quotient map iff vesy if f(B) is closed in X then & is >Y. ie Bclosed in bp closed in the quotient topology induced by f iff (B) is closed in x- التاريخ Acy الموضوع : Theorem:- IP & and I are topological space and fix sy is continuous او function and either open or closed then the topology Cony is the quatient topology p proof: Theorem: Lety have the quotient topology induced by map f of X onto y. The-x: then an arbirary map g:y 7 is continuous 7. iff gof: x > z is "g of continuous Continuous function farrow_forwardFor the problem below, what are the possible solutions for x? Select all that apply. 2 x²+8x +11 = 0 x2+8x+16 = (x+4)² = 5 1116arrow_forward
- For the problem below, what are the possible solutions for x? Select all that apply. x² + 12x - 62 = 0 x² + 12x + 36 = 62 + 36 (x+6)² = 98arrow_forwardSelect the polynomials below that can be solved using Completing the Square as written. 6m² +12m 8 = 0 Oh²-22x 7 x²+4x-10= 0 x² + 11x 11x 4 = 0arrow_forwardProve that the usual toplogy is firast countble or hot and second countble. ①let cofinte toplogy onx show that Sivast countble or hot and second firast. 3) let (x,d) be matricspace show that is first and second countble. 6 Show that Indiscret toplogy is firstand Second op countble or not.arrow_forward
- a) Find the scalars p, q, r, s, k1, and k2. b) Is there a different linearly independent eigenvector associated to either k1 or k2? If yes,find it. If no, briefly explain.arrow_forwardThis box plot represents the score out of 90 received by students on a driver's education exam. 75% of the students passed the exam. What is the minimum score needed to pass the exam? Submitting x and Whickers Graph Low 62, C 62 66 70 74 78 82 86 90 Driver's education exam score (out of 90)arrow_forwardHow many different rectangles can be made whose side lengths, in centimeters, are counting numbers and whose are is 1,159 square centimeters? Draw and label all possible rectangles.arrow_forward
- Co Given show that Solution Take home Су-15 1994 +19 09/2 4 =a log суто - 1092 ж = a-1 2+1+8 AI | SHOT ON S4 INFINIX CAMERAarrow_forwarda Question 7. If det d e f ghi V3 = 2. Find det -1 2 Question 8. Let A = 1 4 5 0 3 2. 1 Find adj (A) 2 Find det (A) 3 Find A-1 2g 2h 2i -e-f -d 273 2a 2b 2carrow_forwardQuestion 1. Solve the system - x1 x2 + 3x3 + 2x4 -x1 + x22x3 + x4 2x12x2+7x3+7x4 Question 2. Consider the system = 1 =-2 = 1 3x1 - x2 + ax3 = 1 x1 + 3x2 + 2x3 x12x2+2x3 = -b = 4 1 For what values of a, b will the system be inconsistent? 2 For what values of a, b will the system have only one solution? For what values of a, b will the saystem have infinitely many solutions?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher: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
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
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