Prove the statement for positive integers n and r, with r n. C(n, n - r)

Question:

Prove the statement for positive integers n and r, with r ≤ n.

C(n, n - r) = C(n, r)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

See More Books

Question Posted: Apr 11, 2019 08:01 AM

See More Questions

Prove each statement for positive integers n and r, with r n. Explain why the restriction r n is needed in the formulas for C(n, r) and P(n, r).
Prove that for positive integers n 1,
Prove that for positive integers n 1,
What (if anything) is wrong with each of the following statements? a. if (a > b) then c = 0; b. if a > b { c = 0; } c. if (a > b) c = 0; d. if (a > b) c = 0 else b = 0;
The 2016 income statement and the 2016 comparative balance sheet of T-Bar-M Camp, Inc., have just been distributed at a meeting of the camp's board of directors. The directors raise a fundamental...
At the end of his financial year on 31 July 204, Silas opened a suspense account with a credit balance of $70. a. Suggest one reason why this account was required. After preparing draft financial...
How is book value per share calculated? Explain how inflation and R&D programs might cause book values to deviate from market values. AppendixLO1
Evaluate Research In Motions keys to success. What did the company do well and, in hindsight, what should it have done differently during its decade of extreme growth?
A company produces two products: FG 1 and FG 2 . Anticipated production is shown here ( stated in units of Finished Goods ) : There are two Direct Materials used in producing the Finished Goods. The...
XYZ Company is considering a new project with a cost of $25,000 and a life of 5 years. The projects yearly pretax operating cash revenues and expenses are $20,000 and $9,000, respectively. The...
Prove the statement for positive integers n and r, with r n. C(n, n - 1) = n
Fill in the blank(s) to correctly complete each sentence. When a fair coin is tossed, there are ___________possible outcomes, and the probability of each outcome is ________.
On January 1, Year 2, Taylor Corp. acquired 100% of the outstanding shares of Toronto Inc. for a total cost of $226,000. The carrying amount and fair value of Torontos assets and liabilities on this...
1. How can the use of MRP contribute to profitability? 2. What are some of the unforeseen costs of ERP implementation? Discuss.
The COVID-19 pandemic resulted in strains on the healthcare supply chain. Discuss why supply chain management (SCM) is important to healthcare organizations. Furthermore, explain how healthcare...
Financial reporting quality relates to the quality of the information regarding the financial wellbeing of a firm that is contained in financial reports, including note disclosures. The quality of...
Exercises: Situational questions. Each answer must be supported by a legal basis. 1. What is the difference when an employee was dismissed for just cause than he was dismissed for an authorized...
In international trade, what is the difference between a contracted agent in a foreign country and a contracted distributor?What are some of the key issues that can arise in the relationship between...
In a classic study of the effect of memory on caffeine, Loke (1988) studied the effect of caffeine on the serial position effect. In memory tests, the serial position effect refers to the observation...
Eleni Cabinet Company sold 2,200 cabinets during 2011 at $160 per cabinet. Its beginning inventory on January 1 was 130 cabinets at $56. Purchases made during the year were as follows: February . 225...
If possible, simplify the expression by hand. If you cannot, approximate the answer to the nearest hundredth. Variables represent any real number. V121
Find an exponential model f(x) that describes each situation. A sample of 9500 insects decreases in number by 35% per week.
Evaluate the expression by hand. Check your result with a calculator. (-3)*
Each week you must submit an annotated bibliography. Entries of current events relating to the economic concepts and the impact on the company or the industry of your company. You must use acceptable...
Fluffy Toys Ltd produces stuffed toys and provided you with the following information for the month ended August 2020 Opening WIP Units 5,393 units Units Started and Completed 24,731 units Closing...
Part A Equipment 1,035,328 is incorrect Installation 44,672 is incorrect Anything boxed in red is incorrect sents 043/1 Question 9 View Policies Show Attempt History Current Attempt in Progress...

Prove the statement for positive integers n and r, with r n. C(n, n - r)

Question:

Step by Step Answer:

Pnr rn n nr n nrr ...View the full answer

College Algebra

Students also viewed these Mathematics questions