Show that n C r = n C n r for n r 0.
Question:
Show that nCr = nCn – r for n ≥ r ≥ 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
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
Answered By
Subash Murugaih
I am leading expert in this web site couple of years and My clients are much happy with my works and services.
4.60+
309+ Reviews
539+ Question Solved
Related Book For
Finite Mathematics For Business Economics Life Sciences And Social Sciences
ISBN: 9780134862620
14th Edition
Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker
Question Posted:
Students also viewed these Mathematics 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)...
-
Bristol Beverages Inc. uses the FIFO cost method and adds all materials, labor, and factory overhead evenly to production. A record of the factory operations for October follows: Production Summary...
-
Visit www.pearsonglobaleditions.com/malhotra to read the video case and view the accompanying video. Marriott: Marketing Research Leads to Expanded Offerings highlights Marriotts success in using...
-
At the end of June, Rob Falco decided to open his own computer service. Analyze the following transactions he completed by recording their effects in the expanded accounting equation. a. Invested...
-
Wildhorse Manufacturing Company uses a job order cost system and keeps perpetual inventory records. June 1 Purchased raw materials for $24,400 on account. 8 Raw materials requisitioned by production:...
-
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...
-
Presented below is the trial balance of Thompson Corporation at December 31, 2012. A physical count of inventory on December 31 resulted in an inventory amount of $64,000; thus, cost of goods sold...
-
a) A passenger car is driving up an incline of 3 degrees at a constant speed of 40 km/h. The vehicle is powered by a 1.5 litre, 4-stroke, SI engine with engine operating range from 1000 (rpm) to 6000...
-
Q2) Using Laplace Transform, Solve the following differential equations: a) y' +5.2 y = 19.4 sin(2 t), y(0) = 0 b) y - y'-6 y = 0, y(0) = 11, y'(0) = 28 c) y" - y =t, y(0) = 1, y'(0) = 1
-
A seasonal food processing industry currently meets its demand for heat and electrical power by purchasing electricity from the local utility and generating heat from a natural gas fired boiler. The...
-
4. (a) A unidirectional carbon fibre reinforced composite has the following properties: E 150 GPa; E2= 8 GPa; G = 10 GPa; v12 = 0.3 where 1 refers to the fibre direction and 2 to the transverse...
-
It is proposed to cool oil in a counter-current, concentric tube heat exchanger composed of a thin-walled inner tube of 0.02 m diameter carrying oil and thin-walled, perfectly insulated outer tube of...
-
Why does the effect of a given increase in aggregate demand have a larger effect on real output in the short run, the more excess capacity exists in the economy?
-
1) The government decided to reduce taxes on fast-food to increase revenue. The government assumes that fast-food products have a) An inelastic demand b) An elastic demand c) A demand curve that is...
-
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 α = 0.05. What is the P-value...
-
Consider the NFL data in Exercise 12-21. (a) Test for significance of regression using α = 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...
-
Suppose that Bank Negara Malaysia sells RM1 billion of government securities to banks in the open market operation, what is the impact on monetary base?
-
We consider a CDS 6M with five-year maturity and $1 MN notional principal. The recovery rate R is equal to 60% whereas the spread S is equal to 400bps at the inception date. we assume that the...
-
Mr. George is thinking about getting a $20,000 second mortgage on his house to help him finance an afterhours software project so he can make some extra money outside of work. He is looking at a...
Study smarter with the SolutionInn App