Show that nCr = 7+n Cr-1 for n r 1.
Question:
Show that
Transcribed Image Text:
nCr = "7+¹n Cr-1 for n ≥r≥ 1.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
We know that nC r nrnr Using the above we can see that the value of the LHS of the given ...View the full answer
Answered By
Madhur Jain
I have 6 years of rich teaching experience in subjects like Mathematics, Accounting, and Entrance Exams preparation. With my experience, I am able to quickly adapt to the student's level of understanding and make the best use of his time.
I focus on teaching concepts along with the applications and what separates me is the connection I create with my students. I am well qualified for working on complex problems and reaching out to the solutions in minimal time. I was also awarded 'The Best Tutor Award' for 2 consecutive years in my previous job.
Hoping to get to work on some really interesting problems here.
5.00+
1+ Reviews
10+ 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
-
Compute the present value of an annuity in which hourly payments (8760 each year) of $0.41 are made for 3 years at an annual rate of 1.2%.
-
Show that linear maps preserve the linear structures of a space. (a) Show that for any linear map from Rn to Rm, the image of any line is a line. The image may be a degenerate line, that is, a single...
-
A mass-spring oscillator consists of a 4.50-kg block attached to a spring of spring constant 148 N/m. At time t = 1.50 s, the position and the velocity of the block are x = 0.105 m and v = 5.97 m/s...
-
Whitmore Company issued $500,000 of 5-year, 8% bonds at 97 on January 1, 2020. The bonds pay interest annually. Instructions a. 1. Prepare the journal entry to record the issuance of the bonds. 2....
-
We wish to design a digital bandpass filter from a second-order analog lowpass Butterworth filter prototype using the bilinear transformation. The specifications on the digital filter are shown in...
-
The capital investment committee of Windsor Landscaping Company is considering two capital investments. The estimated income from operations and net cash flows from each investment are as follows:...
-
Explicar el modo en el que los centros de compras y situaciones de compra influyen en las adquisiciones organizacionales .
-
The Professional Golf Association (PGA) measured the putting accuracy of professional golfers playing on the PGA Tour and the best amateur golfers playing in the World Amateur Championship (Golf...
-
On April 02, 2009 the Global Company acquired equipment. It has estimated useful life of 5 years with salvage value Rs. 5,000 the following expenditure were incurred on it. 1. Billed Price Rs....
-
The following table was obtained from the function f(x) = 10x/(1 + x 2 ): Find the interpolating polynomial p(x) for this table. Graph p(x) and f(x) on the same set of axes. X f(x) -2 -4 -1 -5 0 0 1...
-
The following table was obtained from the function f(x) = (9 x 2 ) / (1 + x 2 ): Find the interpolating polynomial p(x) for this table. Graph p(x) and f(x) on the same set of axes. X f(x) -2 1 4 0 9...
-
What are the criteria to be used when evaluating secondary data?
-
a ) If F ( x ) = upper limit x and lower limit 8 dt , the F \' ( x ) = ? b ) If F ( x ) = upper limit 1 1 and lower limit x dt , the F \' ( x ) = ? c ) If F ( x ) = upper limit x ^ 6 and lower limit...
-
Please help me with this one can you do for me 1. the research on quantum dots. Find a resource that you think does the best job of explaining this. and provide short description of what you've...
-
During Year 1, Ashkar Company ordered a machine on January 1 at an invoice price of $28,000. On the date of delivery, January 2, the company paid $9,000 on the machine, with the balance on credit at...
-
An airplane has to travel a round trip Manila to Singapore and back (1485 mi apart) in a total time of 7 hours and 10 minutes. The plane from manila to Singapore is flying with a headwind of 70 mph...
-
Flexible Budget. At normal capacity, Boulder Products Corp. manufactures 10,000 trail bikes. At that level, unit variable costs for the Assembly Department are: Direct...
-
Suppose you had separated the A and B chains of insulin by disulfide reduction. What chromatographic method should make it possible to isolate pure A and B chains? Explain your choice of separation...
-
Ann hires a nanny to watch her two children while she works at a local hospital. She pays the 19 year-old nanny $125 per week for 48 weeks during the current year. a. What is the employers portion of...
-
Consider the NFL data in Exercise 12-21. (a) Find 95% confidence intervals on the regression coefficients. (b) What is the estimated standard error of Y|x0 when the percentage of completions is 60%,...
-
Consider the regression model fit to the X-ray inspection data in Exercise 12-15. Use rads as the response. (a) What proportion of total variability is explained by this model? (b) Construct a normal...
-
Consider the regression model fit to the arsenic data in Exercise 12-16. Use arsenic in nails as the response and age, drink use, and cook use as the regressors. (a) What proportion of total...
-
What is Apple Companys strategy for success in the marketplace? Does the company rely primarily on customer intimacy, operational excellence, or product leadership? What evidence supports your...
-
Exercise 1 1 - 7 ( Algo ) Net present value and unequal cash flows LO P 3 Gomez is considering a $ 2 1 0 , 0 0 0 investment with the following net cash flows. Gomez requires a 1 2 % return on its...
-
a Campbell Inc. produces and sells outdoor equipment. On July 1, 2011. Campbell issued $40,000,000 a 10-year, 10% bonds at a market (effective) interest rate of 9%, receiving Cash of 548,601,480....
Study smarter with the SolutionInn App