Show that n C r = n C n r for n r 0.

Question:

Show that _nC_r = _nC_{n – r} for n ≥ r ≥ 0.

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

Step by Step Answer:

Related Book For book-img-for-question

Finite Mathematics For Business Economics Life Sciences And Social Sciences

ISBN: 9780134862620

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

See More Books

Question Posted: Jan 02, 2024 02:35 AM

See More Questions

Prove the identity. 1. nPn1 = nPn 2. nCn = nC0 3. nCn-1 = nC1 4. nCr = nPr / r! 5. Can your graphing utility evaluate 100P80? If not, explain why.
Find the values of nCr and nPr when (a) r = 5 and n = 15, (b) r = 2 and n = 10, (c) r = 8 and n = 10.
NCR Corporation, known as a world leader in ATMs, point-of-sale (POS) retail checkout scanners and check-in kiosks at airports, announced June 2009 that it would move its world headquarters from...
Let U = {1, 2, 3, 4,p, 10} A = {1, 3, 5, 7} B = {3, 7, 9, 10} C = {1, 7, 10} Determine the following. A - B
Consider the two systems shown in figure(a) Sketch the spectra of the various signals if xa(t) has the Fourier transform shown in figure(b) and Fs = 2B. How are y1(t) and y2(t) related to xa(t)?(b)...
The Converting Department of Forever Fresh Towel and Tissue Company had 840 units in work in process at the beginning of the period, which were 75% complete. During the period, 17,600 units were...
An organization such as Google might not hire a person who is fully qualified for the job but who is thought to be a poor fit with the firms organizational culture. What are the ethical implications,...
Describe the key activities performed by IS professionals in each step of the SDLC.
Presented below are selected accounts for San Marcos Corporation for December 31 of the current yeat. What is total stockholders' equity for San Marcos Corporation? 51.438 5770 5918 31,35k
Find f(1) + f(2) + f(3) + + f(50) if f(x) = 2x 3.
In Problems use the quartic regression routine on a graphing calculator to fit a fourth degree polynomial to the tables in the indicated problems. Compare this polynomial with the interpolating...
Enter an occupied elevator and turn and face the people in it and smile. How do they react?
Section Three Answer the questions below 1.While pulling out of her driveway, Bethany becomes distracted by a bee and strikes Melanie, who is riding past on a bicycle. Bethany suffers serious injury...
A __________ is a schedule periodic check of a specific process behavior. Question 1Answer A. Widget B. Dashboard C. Monitor D. Process ID
1. Was VAAF contractually obligated to pay Chad for refraining from smoking? 2. Was there consideration to support its promise to pay $500? 3. Are there other facts you need to know to make that...
Presented here are the comparative balance sheets of Hames Incorporated at December 31, 2023 and 2022. Sales for the year ended December 31, 2023, totaled $1,700,000.%0D%0A%0D%0AHAMES...
McDonald's conducts operations worldwide and is managed in two primary geographic segments: US, and International Operated Markets, which is comprised of Australia, Canada, France, Germany, Italy,...
Suppose you performed two BLAST searches, one on the peptide sequence FIDPWE, and another on the sequence KRTIAAVNSPLLEVATY. Which search do you predict will give you alignments with "expect scores"...
As long as we can't lose any money, we have a risk-free investment." Discuss this comment. Q2: Both investing and gambling can be defined as "undertaking risk in order to earn a profit." Explain how...
Consider the regression model fit to the stack loss data in Exercise 12-20. Use stack loss as the response. (a) Test for significance of regression using Î± = 0.05. What is the P-value...
Consider the NFL data in Exercise 12-21. (a) Test for significance of regression using Î± = 0.05. What is the P-value for this test? (b) Conduct the t-test for each regression...
An article in Technometrics (1974, Vol. 16, pp. 523531) considered the following stack-loss data from a plant oxidizing ammonia to nitric acid. Twenty-one daily responses of stack loss (the amount of...
On NSE (Indian stock exchange), shares of ICICI Bank trade for 935 rupees. If the spot exchange rate is USD 0.012, what is the no-arbitrage USD price of ICICI Bank ADR? Assume that transactions costs...
Income Statement Balance Sheet Balance Sheet Additional Financial Information 1. Market price of Ranfield's common stock: $90.44 at December 31, 2024, and $58.35 at December 31, 2023. 2. Common...
There is a credit rating agency for businesses that gives out various amounts of information based on the subscription level. This company is called a. Business Credit Scoring b. Fair Issue c. Dun...

Show that n C r = n C n r for n r 0.

Question:

Step by Step Answer:

To show that nCr nCn r for n r 0 we need to use the combination formula for binomial coefficients Th...View the full answer

Finite Mathematics For Business Economics Life Sciences And Social Sciences

Students also viewed these Mathematics questions