A First Course in Probability
9th Edition
ISBN: 9780321794772
Author: Sheldon Ross
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 1, Problem 1.15P
A dance class consists of 22 students, of which 10 are women and 12 are men. If 5 men and 5 women are to be chosen and then paired off, how many results are possible?
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule02:56
Students have asked these similar questions
13) Consider the checkerboard arrangement shown below. Assume that the red checker can move diagonally
upward, one square at a time, on the white squares. It may not enter a square if occupied by another checker, but
may jump over it. How many routes are there for the red checker to the top of the board?
12) The prime factors of 1365 are 3, 5, 7 and 13. Determine the total number of divisors of 1365.
11) What is the sum of numbers in row #8 of Pascal's Triangle?
Chapter 1 Solutions
A First Course in Probability
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 - 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 - 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 that the...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Find the areas of the regions enclosed by the lines and curves in Exercises 65–74.
65. y = x2 − 2 and y = 2
University Calculus: Early Transcendentals (4th Edition)
Rational functions Determine limxf(x) and limxf(x) for the following rational functions. Then give the horizont...
Calculus: Early Transcendentals (2nd Edition)
the water that tank can hold.
Pre-Algebra Student Edition
Explain the meaning of the term “statistically significant difference” in statistics terminology.
Intro Stats, Books a la Carte Edition (5th Edition)
Answer each of the following and explain your answer. a. How many lines can contain a particular segment? b. Ho...
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
The following set of data is from sample of n=5: a. Compute the mean, median, and mode. b. Compute the range, v...
Basic Business Statistics, Student Value 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
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
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
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
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
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