Prove each statement for positive integers n and r, with r n. C(0, 0) = 1
Question:
Prove each statement for positive integers n and r, with r ≤ n.
C(0, 0) = 1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (12 reviews)
Pnr rn n nr n ...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Question Posted:
Students also viewed these Mathematics questions
-
Prove the statement for positive integers n and r, with r n. P(n, n - 1) = P(n, n)
-
Prove or disprove: If m, n are positive integers and m, n are perfect squares, then m + n is a perfect square.
-
Prove that if n and k are integers with 1 ¤ k ¤ n, then a) Using a combinatorial proof. b) Using an algebraic proof based on the formula for (nr) given in Theorem 2 in Section 6.3. k...
-
Write a program that takes an integer command-line argument n and prints all the positive powers of 2 less than or equal to n. Make sure that your program works properly for all values of n.
-
Use Apple Inc.'s consolidated statement of cash flows along with the company's other consolidated financial statements, all in Appendix A and online in the filings section of www.sec.gov, to answer...
-
With data from the U.S. Department of Energy, the number of billions of barrels of U.S. crude oil produced per year from 2010 and projected to 2030 can be modeled by the function f(t) = -0.001t 2 +...
-
The following scenarios describe situations faced by hypothetical companies that currently have a centralized organization structure. As you review each of the scenarios, provide your opinion as to...
-
Mobile Seating Corporation manufactures seats for automobiles, vans, trucks, and boats. The company has a number of plants, including the Greenville Cover Plant, which makes seat covers. Miriam...
-
2. Home Depot (HD) recently paid a annual dividend of $1.50 per share. Using a one period dividend growth model, what is the price of one share of HD stock if the terminal dividend growth rate is 5%?...
-
The statements of financial position of Lochnagar Ltd for the past two years and the company's most recent income statement are set out below. Income statement for the year to 31 October 2018. ? ? ?...
-
Prove each statement for positive integers n and r, with r n. C(n, 0) = 1
-
Prove the statement for positive integers n and r, with r n. C(n, n - 1) = n
-
Match the inequality in each exercise in Column I with its equivalent interval notation in Column II. x -6 A. (-2, 6] B. [-2, 6) C. (-, -6) D. [6, ) E. (-, -3) (3, ) F. (-, -6) G. (0, 8) H. (-, )...
-
Why does the auditor update the interim evaluation of controls at year end?
-
When would it be more appropriate to use a flowchart instead of a narrative to document internal controls?
-
If you were a project manager in your first Critical Chain project, how would you convince team members to pass their work on early to the next resource?
-
Explain the different techniques used to document internal controls.
-
Can the content ordinarily included in a management letter be delivered verbally to those charged with governance? Explain your answer.
-
A baseball (m = 145g) traveling 32 m/s moves a fielder's glove backward 25 cm when the ball is caught. What was the average force exerted by the ball on the glove?
-
Prove the following D,(cos x) = - sin x (Hint: Apply the identity cos(A + B) = cos A cos B sin A sin B)
-
Suppose that the density of female insects during the first year is 500 per acre with r = 0.8. (a) Write a recursive sequence that describes these data, where a n , denotes the female insect density...
-
Determine the future value of each annuity. A = $2000, i = 0.08, n = 20
-
Rewrite each summation so that the index starts with n = 1. 32 (34 2)
-
f(x)=5x-3, g(x)=x-5 (f+g)(x)=(Simplify your answer.)
-
(5) A small maintenance project consists of the following jobs whose precedence relationships are given below: Job 1-2 1-3 2-3 2-5 3-4 Immediate Predecessor 15 15 3 5 8 8 Activity 3-6 4-5 4-6 5-6 6-7...
-
Let X be a binomial random variable with the probability distribution f(x) shown below. Find the probability distribution of the random variable Y=x. f(x)= Bere 3-x x=0,1,2,3 elsewhere Complete the...
Study smarter with the SolutionInn App