FREE Trial

What is meant by a combinatorial proof of an identity? How is such a proof different from an algebraic one?

What is meant by a combinatorial proof of an identity? How is such a proof different from an algebraic one?

This problem has been solved!


Do you need an answer to a question different from the above? Ask your question!
  • Tutor Answer

A combinatorial proof is a proof of an algebraic identity that s…View the full answer


answer-question
Related Book For  answer-question
Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books
Posted Date: May 03, 2016 01:42:45
See More Questions

Students also viewed these Statistics questions

Q:
Consider the following combinatorial identity: (a) Present a combinatorial argument for this identity by considering a set of n people and determining, in two ways, the number of possible selections...
A:
a b Number of possible selections of a committee of size k and a chairperson is and so represents......
Q:
The following exercise provides a combinatorial proof for a summation formula we have seen in four earlier results: (1) Exercise 22 in Section 1.4; (2) Example 4.4; (3) Exercise 3 in Section 4.1; and...
A:
a There is only one function in Si namely f A B where f a f b 1 and c 2......
Q:
What is meant by a marginal distribution? What is meant by a conditional distribution?
A:
A marginal distribution is a frequency or relative freque......
Q:
Use the data in the table to complete the following. (a) Make a scatterplot of the data. Estimate a value for b so that f(x) = 0.0002x b models the data. (b) Check the accuracy of f(x). (c) The moon...
A:
a b c 0......
Q:
For each of the following independent cases, fill in the missing information. The company budgets and applies manufacturing-overhead costs on the basis of direct-labor hours. (U denotes unfavorable...
A:
Missing amounts for case A 2 7 00 a per hour 3 9 50 b per hour 6 98 050 c 9 2 500 U d 10 3 000 F e 11 42 000 Negative f The negative sign means that a......
Q:
What is an indifference curve and how does a preference map show preferences?
A:
An indifference curve shows those combinations of goods for which a consumer is indifferent T......
Q:
You have just received last month's earned-value information that must be shown to the customer in the monthly status review meeting. Last month's data showed unfavorable variances that exceeded the...
A:
A Provide the dat......
Q:
MRE Sales is looking to acquire an ERP and has asked for your assistance. The company can purchase the system outright for $120,000 plus 5% sales tax, and delivery and install charges of $2,000. The...
A:
a Total Cash Outflow Purchase price of ERP 120 000 Add Sales Tax 5 6000 Add Installation charge......
Q:
Create a single .py program that performs the following tasks: 1. Modify the provided "Biggest" function to accept three variables, which could be string, int or float, and then convert them to float...
A:
Create a single py program that performs the following tasks 1 Modify the provided Biggest function......
Q:
Howies Bakery is one of the most popular bakeries in town, and the favorite at Howies is French bread. Each day of the week, Howies bakes a number of loaves of French bread, more or less according to...
A:
tr mso height source auto col mso width source auto br mso data placement same cell style0 mso number format General text align general vertical align bottom white space nowrap mso rotate 0 mso backgr......
Q:
Use Algorithm 3 to list all the 3-combinations of {1, 2, 3, 4, 5}.
A:
We begin with the first 3 combination namely 1 2 3 Let us trace through Algorithm 3 to find the next......
Q:
a) What is the difference between an r-combination and an r-permutation of a set with n elements? b) Derive an equation that relates the number of r-combinations and the number of r-permutations of a...
A:
a Permutations are ordered arrangements......
Q:
Suppose that half the population is healthy and the other half is unhealthy. If an insured healthy person gets sick, the full cost to the insurance company is $ 1,000. If an insured unhealthy person...
A:
a For actuarially fair insurance the expected profit should be zero The......
Q:
Go to neuroshell.com. Look at Gee Whiz examples. Comment on the feasibility of achieving the results claimed by the developers of this neural network model.
A:
To comment on the feasibility of achieving the results claimed by the developers of a neural network model you typically need to consider several factors and evaluate the evidence presented in their c......
Q:
Go to Teradata.com. Search and find application case studies and white papers on deep learning and/or cognitive computing. Write a report to summarize your findings, and comment on the capabilities...
A:
Title Deep Learning and Cognitive Computing Applications Case Studies and Limitations Introduction Deep Learning and Cognitive Computing have emerged as transformative technologies in the fields of da......
Q:
Go to IBM.com. Search and find application case studies and white papers on deep learning and/or cognitive computing. Write a report to summarize your findings, and comment on the capabilities and...
A:
Title Application Case Studies and White Papers on Deep Learning and Cognitive Computing Introduction Deep learning and cognitive computing are two powerful subfields of artificial intelligence AI tha......
Q:
Goto https://www.lexalytics.com/lexablog/5-industriestaking- advantage-text-analytics-2 and discuss at least two industries that make use of text analytics for their business.
A:
Text analytics also known as text mining or natural language processing NLP is a powerful technology that involves the extraction of meaningful insights and patterns from unstructured text data It off......
Q:
Visit the INSPIRE Grid projects Web site (http://www.inspire-grid.eu/index.php/results/decision-tree/). On the INSPIRE Grid page, four categories of tools are identified and organized based on the...
A:
Decision trees are a powerful machine learning and decision making technique that can be applied to various domains including the energy sector where Transmission System Operators TSOs play a crucial......
Q:
Draw the enolate that is formed when each of the following compounds is treated with LDA. (a) (b) (c) (d)
A:
a......
Q:
Classify each of the following as direct costs or indirect costs of operating the Pediatrics ward for children at the Cleveland Clinic: a. Wi-Fi covering the entire hospital campus b. Net cost of...
A:
a Indirect b Indirect c Direc......
Q:
In the casino game of blackjack the dealer is dealt two cards, one face up and one face down, and each player is dealt two cards, both face down. If the dealer is showing an ace the player can look...
A:
If you have no ten cards and the dealer has an ace then in the remaining 49 cards there a......
Q:
(Feller14) A large number, N, of people are subjected to a blood test. This can be administered in two ways: (1) Each person can be tested separately, in this case N test are required, (2) the blood...
A:
a 1 1 p N b k 1 1 1 p 1 p......
Q:
The following related discrete problem also gives a good clue for the answer to Exercise 32. Randomly select with replacement t1, t2, . . . , tr from the set (1/n, 2/n, . . . , n/n). Let X be the...
A:
We begin by noting that P X j 1 P t t2 aj defined by Now consider the j numbers a1 a2 a t a2 t1 t2 a3 t1 t2 t3 tj n aj t t tj The sequence a1 a2 a is......
Q:
What was one of the prime reasons that MACRS depreciation was initiated in the mid-1980s?
A:
A primary intent was economic growth through capital inves......
Q:
Assume your instructor was one of your references. You have just accepted your dream job. Write an e-mail expressing appreciation to your instructor for serving as a reference. Update your instructor...
A:
The e mail should be written in the direct plan The first paragraph should announce that the student......
Q:
What type of public accounting firm would you prefer to work for-a large or a small firm? One consideration would be the types of clients and services offered by the firm. The large public accounting...
A:
1 One of the key factors in performing a quality audit is the auditors knowledge and understanding o......
Q:
Arvind runs a small electronics company in India and has just sold some equipment to a U.S. company for $1 million to be paid in 90 days. His cost in Indian Rupees (INR) is 60 million. The current...
A:
The firm has sold equipment worth 1 million to another firm in some other......
Q:
A particle is confined within a box with perfectly rigid walls at x = 0 and x = L. Although the magnitude of the instantaneous force exerted on the particle by the walls is infinite and the time over...
A:
AP Pfinal Pinitial P k 1 L hn hn i So p 212 momentum after tur......
Q:
Norris Mill can convert logs into lumber and plywood. In a given week, the mill can turn out 400 units of production, of which 100 units of lumber and 150 units of plywood are required by regular...
A:
Let x the number......
Q:
For each of the following lists of premises, derive the indicated conclusion and complete the justification. For tautology, derive a conclusion that is simpler than the premise.
A:
Click to View...
Q:
Waddell Company had the following balances in its accounting records as of December 31, 2015: The following accounting events apply to Waddell Companys 2016 fiscal year: Jan. 1 Acquired $20,000 cash...
A:
Accounting Equation Assets Liabilities Stk Equity Date Cash Acc Rec Pp Rent Supp Int Rec Land Acc Pa......
Q:
How to fix this code and get out put? Create a Customer class that encapsulates the concept of a customer, assuming that a customer has the following attributes: a name and a credit score. Include a...
A:
Below is the corrected code java package customerclass......
Q:
In this problem we will explore how modifying the gravitational force law changes orbits. In order to do this problem, you will need to understand how elliptic orbits result from Newtons...
A:
Click to View...
Q:
Describe the Political and economic impact a disaster can have in a community. 2. Identify and describe three sources of funding for disaster recovery.
A:
Economic and Political Impacts of Disasters A disaster is an event that happens suddenly such as road accidents and natural calamities that result in economic and societal ruin Some disastrous events......
Q:
Sunrise Industries wishes to accumulate funds to provide a retirement annuity for its vice president of research, Jill Moran. Ms. Moran by contract will retire at the end of exactly 12 years. Upon...
A:
1 Present Value of Annuity PV A 1 k n 1 k 1 k0 n Where A 42000 k 12 n 20 y......
Q:
The ionization energy for neon (Z = 10) is 21.6eV, and that for sodium (Z = 11) is 5.1eV. Explain the large difference.
A:
Neon is a closed shell atom a noble gas where all of the electron shells are completely full and......
Q:
You are asked to develop a study for a pharmaceutical company to determine whether taking one tablet of drug A is related to lower total cholesterol levels. If you select an alpha of 0.05 and a power...
A:
In the context of statistical hypothesis testing the choice of alpha and power is crucial for design......
Q:
You are asked to develop a study for a pharmaceutical company to determine whether taking one tablet of drug A is related to lower total cholesterol levels. If your study had an alpha of 0.05 and a...
A:
A Type II error occurs when you fail to reject a null hypothesis that is actually false In the conte......
Q:
A study anticipates that subjects treated with drug A will have substantial improvement in their neuropathy symptoms. If the study measures treatment with drug A as not given, low dose, or high dose,...
A:
The variable treatment with drug A in this study can be categorized as an ordinal level of measureme......
Q:
You are asked to develop a study for a pharmaceutical company to determine whether taking one tablet of drug A is related to lower total cholesterol levels. If your conclusion was actually a type one...
A:
If the conclusion was a Type I error in the context of the study on drug A and cholesterol levels it......
Q:
You are working in a school-based health center and have developed a new screening tool for suicide risk among adolescent athletes. The pilot of your new screening tool reports that female athletes...
A:
The fact that the results from the pilot of your new screening tool agree with other published repor......
Q:
Complete the following table by entering either increase or decrease in each cell: Item Debit Credit venues Expenses
A:
Item Revenues......
Q:
To balance the chemical equation SiH3 + O2 SiO2 + HO, you could introduce coefficients a, b, c, d and write aSiH3 + bO2 cSiO + dHO then write linear equations for each element. The equation for Si...
A:
Click to View...
Q:
A protons speed as it passes point A is 50,000 m/s. It follows the trajectory shown in FIGURE P25.43. What is the protons speed at point B? BI -10 V 30 V 10 V FIGURE P25.43
A:
Model Energy is conserved The potential energy is det......
Q:
A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 20.0 kg m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same...
A:
Angular momentum of the system of the spac......
Q:
A spacecraft is in orbit around Jupiter. The radius of the orbit is 3.0 times the radius of Jupiter (which is RJ = 71 500 km). The gravitational field at the surface of Jupiter is 23 N/kg. What is...
A:
Use Newtons second law and law of universal gravitat......
Q:
Physical Science the table shows equivalent Fahrenheit and Celsius temperatures. Degrees Fahrenheit Degrees Celsius 32 ................... 0 68 ................. 20 104 ................. 40 140...
A:
a Let us choose the points x 32 y 0 and x 122 y 50 So the slope of the line passing through these p......
Q:
Alex has 6 M&Ms and no Starburst; Fred has 8 Starburst and 2 M&Ms. Alex's preferences are described by the utility function U(M, S) = min (M, S), while Fred's preferences are described by the utility...
A:
a At the original bundle Alex s utility is zero Also Fred s......
Q:
Draw the curved arrows that accomplish the following transformation: CI CI H. e Me Me NEN Me
A:
NH......
Q:
Which of the below prevents a married couple from filing a joint tax return? I. The spouses have different accounting methods II. The spouses have different tax years, provided that both spouses are...
A:
Click to View...
Q:
Statement of Cash FlowsIndirect Method Refer to all of the facts in Problem 12-3. Statement of Cash FlowsIndirect Method Refer to all of the facts in Problem 12-3. Presented here are comparative...
A:
1 Changes in account balances and explanations in thousands of dollars Net Change Dr Cr Explanation Cash 38 Accounts receivable 50 Inventory 30 Prepayments 10 Land 150 Purchase c Plant and equipment 2......
Q:
Background of the Germany and Australia (Historical, Political, economic) Body You need to compare and contrast the IR/ER system of Germany and Australia based on the outline given below. (Find...
A:
Comparing and contrasting the Industrial Relations Employment Relations IR ER systems of Germany and Australia reveals several key similarities and differences Here s an overview based on your outline......
Q:
Aussie Films Pty Ltd (Aussie Films) is a company incorporated in Australia. It agreed to produce a film titled "Little Roo". The rights to that film is owned by USA Inc (an American company). Aussie...
A:
1 Grounds to support the argument that Aussie Films is the maker of the film Aussie Films can argue......
Q:
If the perigee altitude of an earth satellite is 240 km and the apogee altitude is 400 km, compute the eccentricity e of the orbit and the period of one complete orbit in space.
A:
The eccentricity e of the orbit can be calculated using the equat......
Q:
Determine the apparent velocity v rel of a satellite moving in a circular equatorial orbit 200 mi above the earth as measured by an observer on the equator (a) For a west-to-east orbit (b) For an...
A:
a For a west to east orbit the apparent velocity vrel of the satellite as measured by an observer on......
Q:
Identify and then graph each conic section. If it is a parabola, give the vertex, focus, directrix, and axis of symmetry. If it is an ellipse, give the center, vertices, and foci. |(x + 3), (y + 2)...
A:
x 3 v 2 1 25 36 Rewriting the equation we have x 3 x 2 1 This is......
Q:
Mr. James Newman, the contracting officer (CO), has a customer with a requirement that 460 computers be completely destroyed by an outside contractor under the supervision of two military members of...
A:
For the destruction of 460 computers the appropriate contracting method would likely be competitive proposals using a Request for Proposal RFP process Here are the considerations to keep in mind when......
Q:
A system of N paticles has a Hamiltonian of the form H = -h S (-1 where h is a positive constant. Each particle can have an "spin" S = 1,0,-1. a. In the canonical ensemble find the partition function...
A:
ANSWER Let s go through each part of the problem step by step a To find the partition function of the system in the canonical ensemble we need to sum......
Q:
A radar system is used to track a new experimental space launch vehicle. Early in the vehicle's flight trajectory, the azimuth angle B is increasing with the constant rate d/dt=24"/s. The elevation...
A:
Click to View...
Q:
All the bonds in this question have face value $100. Suppose a 2-year bond with 5% coupon rate is currently priced at $100 (i.e., it is a par bond), while a 1-year zero coupon bond is currently...
A:
To find the current price of a 2 year zero coupon bond consistent with no arbitrage we can use the c......
Q:
An artist currently has $840,000 to invest and her goal is to use these resources to acquire a $1.5 million house in cash within six years. What annual rate should she seek for her portfolio in order...
A:
To calculate the annual rate of return compounded daily that the artist needs to achieve her goal o......
Q:
Norell Inc. experienced the following accounting events during its 2016 accounting period: 1. Recognized revenue on account. 2. Issued common stock. 3. Paid cash to purchase supplies. 4. Collected a...
A:
a Event Requires year end adjusting entry 1 No 2 No 3 Yes 4 Yes 5 No 6......
Q:
In the figure, two loudspeakers, separated by a distance of d1 = 2.63 m, are in phase. Assume the amplitudes of the sound from the speakers are approximately the same at the position of a listener,...
A:
Here we apply concept condition for minimum 8 di Joss d of wave interference and and maximum AL......
Concrete Construction Handbook 1st Edition - ISBN: 1639891242 - Free Book