A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
thumb_up100%
Chapter 1, Problem 1.14P
Five separate awards (best scholarship, best leadership qualities, and so on) are to be presented to selected students from a class of 30. How many different outcomes are possible If
a. a student can receive any number of awards?
b. each student can receive at most 1 award?
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule02:13
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)
Determine the number of vectors , such that each is either 0 or 1 and
A First Course in Probability
Find Var(X) for the urn problem of Example 3.6.1 if the sampling is done with replacement.
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Solve each formula for the given letter . [2.3] What percent of 60 is 42? [2.4]
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
Locating critical points Find the critical points of the following functions. Assume a is a nonzero constant. 3...
Calculus, Single Variable: Early Transcendentals (3rd 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
- Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? b In how many ways can he choose four of these books to take with him on his vacation at the shore?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_forwardOver the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?arrow_forward
- Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?arrow_forwardIn three-card poker, a hand consists of three cards dealt from a deck of 52. How many different three-card poker hands are possible? (Order is not important.)arrow_forwardHow many different ways can 6 people be seated at a round table.arrow_forward
- A wholesale T-shirt company oilers sizes small, medium, large, and extra-large in organic or non- organic cotton and colors white, black, gray, blue, and red. How many different T-shirts are there to choose from?arrow_forwardPet Owners According to the Humane Society, in 2015, 65% of U.S. households owned at least one pet, and 42% of households who did own pets owned at least two. The U.S. Census Bureau tells us that there were 117 million households in 2015. How many households owned at least two pets? Report your answer in millions rounded to two places.arrow_forwardIs it possible that P(AB)=P(A)? Explain.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher: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