A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
thumb_up100%
Chapter 1, Problem 1.19P
Seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive more than one gift?
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule02:06
Chapter 1 Solutions
A First Course in Probability (10th Edition)
Ch. 1 - a. How many different 7-place license plates are...Ch. 1 - How many outcome sequences are possible ten a die...Ch. 1 - Twenty workers are to be assigned to 20 different...Ch. 1 - John, Jim, Jay, and Jack have formed a band...Ch. 1 - For years, telephone area codes in the United...Ch. 1 - A well-known nursery rhyme starts as follows: As I...Ch. 1 - a. In how many ways can 3 boys and 3 girls sit in...Ch. 1 - When all letters are used, how many different...Ch. 1 - A child has 12 blocks, of which 6 are black, 4 are...Ch. 1 - In how many ways can 8 people be seated in a row...
Ch. 1 - In how many ways can 3 novels. 2 mathematics...Ch. 1 - How many 3 digit numbers zyz, with x, y, z all...Ch. 1 - How many different letter permutations, of any...Ch. 1 - Five separate awards (best scholarship, best...Ch. 1 - Consider a group of 20 people. If everyone shakes...Ch. 1 - How many 5-card poker hands are there?Ch. 1 - A dance class consists of 22 students, of which 10...Ch. 1 - A student has to sell 2 books from a collection of...Ch. 1 - Seven different gifts are to be distributed among...Ch. 1 - A committee of 7, consisting of 2 Republicans, 2...Ch. 1 - From a group of 8 women and 6 men, a committee...Ch. 1 - A person has 8 friends, of whom S will be invited...Ch. 1 - Consider the grid of points shown at the top of...Ch. 1 - In Problem 23, how many different paths are there...Ch. 1 - A psychology laboratory conducting dream research...Ch. 1 - Show k=0n(nk)2k=3n Simplify k=0n(nk)xkCh. 1 - Expand (3x2+y)5.Ch. 1 - The game of bridge is played by 4 players, each of...Ch. 1 - Expand (x1+2x2+3x3)4.Ch. 1 - If 12 people are to be divided into 3 committees...Ch. 1 - If 8 new teachers are to be divided among 4...Ch. 1 - Ten weight lifters are competing in a team...Ch. 1 - Delegates from 10 countries, including Russia,...Ch. 1 - If 8 identical blackboards are to be divided among...Ch. 1 - An elevator starts at the basement with 8 people...Ch. 1 - We have 520.000 that must be invested among 4...Ch. 1 - Suppose that 10 fish are caught at a lake that...Ch. 1 - Prove the generalized version of the basic...Ch. 1 - Two experiments are to be performed. The first can...Ch. 1 - In how many ways can r objects be selected from a...Ch. 1 - There are (nr) different linear arrangements of n...Ch. 1 - Determine the number of vectors (x1,...,xn), such...Ch. 1 - How many vectors x1,...,xk are there for which...Ch. 1 - Give an analytic proof of Equation (4.1).Ch. 1 - Prove that (n+mr)=(n0)(mr)+(n1)(mr1)+...+(nr)(m0)...Ch. 1 - Use Theoretical Exercise 8 I to prove that...Ch. 1 - From a group of n people, suppose that we want to...Ch. 1 - The following identity is known as Fermats...Ch. 1 - Consider the following combinatorial identity:...Ch. 1 - Show that, for n0 ,i=0n(1)i(ni)=0 Hint: Use the...Ch. 1 - From a set of n people, a committee of size j is...Ch. 1 - Let Hn(n) be the number of vectors x1,...,xk for...Ch. 1 - Consider a tournament of n contestants in which...Ch. 1 - Present a combinatorial explanation of why...Ch. 1 - Argue...Ch. 1 - Prove the multinomial theorem.Ch. 1 - In how many ways can n identical balls be...Ch. 1 - Argue that there are exactly (rk)(n1nr+k)...Ch. 1 - Prob. 1.22TECh. 1 - Determine the number of vectors (xi,...,xn) such...Ch. 1 - How many different linear arrangements are there...Ch. 1 - If 4 Americans, 3 French people, and 3 British...Ch. 1 - A president. treasurer, and secretary. all...Ch. 1 - A student is to answer 7 out of 10 questions in an...Ch. 1 - In how many ways can a man divide 7 gifts among...Ch. 1 - How many different 7-place license plates are...Ch. 1 - Give a combinatorial explanation of the...Ch. 1 - Consider n-digit numbers where each digit is one...Ch. 1 - Consider three classes, each consisting of n...Ch. 1 - How many 5-digit numbers can be formed from the...Ch. 1 - From 10 married couples, we want to select a group...Ch. 1 - A committee of 6 people is to be chosen from a...Ch. 1 - An art collection on auction consisted of 4 Dalis,...Ch. 1 - Prob. 1.14STPECh. 1 - A total of n students are enrolled in a review...Ch. 1 - Prob. 1.16STPECh. 1 - Give an analytic verification of...Ch. 1 - In a certain community, there are 3 families...Ch. 1 - If there are no restrictions on where the digits...Ch. 1 - Verify the...Ch. 1 - Simplify n(n2)+(n3)...+(1)n+1(nn)
Additional Math Textbook Solutions
Find more solutions based on key concepts
The 16 sequences in the sample space S.
Probability And Statistical Inference (10th Edition)
The 16 sequences in the sample space S.
Probability and Statistical Inference (9th Edition)
The statement, if f(x)=(x+a)(x+b)(x−c), then f(−b)=0, is true or false.
College Algebra (5th Edition)
The numbers in the set { x|x = a b , where a, b are integers and b ≠ 0 } are called ---------- numbers.
College Algebra (10th Edition)
A father rates his daughter as a 2 on a 7-point scale (from 1 to 7) of crankiness. In this example, (a) what is...
Statistics for Psychology
In Exercises 15 and 16, list five vectors in Span {v1, v2}. For each vector, show the weights on v1 and v2 used...
Linear Algebra and Its Applications (5th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Similar questions
- In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in the exact order (1 St place, 2nd place, and 3rd place). How many different trifectas are possible if there are 14 horses in a race?arrow_forwardChoosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer need to be filled. In how many different ways can the offices be filled?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 Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five numbers match the five numbers drawn (in any order), the player wins (or shares) the top prize. What is the probability of winning the top prize when the player buys one ticket?arrow_forwardA cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3 packages include both voice and data. How many ways are there to choose either voice or data, but not both?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
What are the Different Types of Triangles? | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=1k0G-Y41jRA;License: Standard YouTube License, CC-BY
Law of Sines AAS, ASA, SSA Ambiguous Case; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=FPVGb-yWj3s;License: Standard YouTube License, CC-BY
Introduction to Statistics..What are they? And, How Do I Know Which One to Choose?; Author: The Doctoral Journey;https://www.youtube.com/watch?v=HpyRybBEDQ0;License: Standard YouTube License, CC-BY
Triangles | Mathematics Grade 5 | Periwinkle; Author: Periwinkle;https://www.youtube.com/watch?v=zneP1Q7IjgQ;License: Standard YouTube License, CC-BY
What Are Descriptive Statistics And Inferential Statistics?; Author: Amour Learning;https://www.youtube.com/watch?v=MUyUaouisZE;License: Standard Youtube License