Prove the statement for positive integers n and r, with r n. P(n, 0) = 1
Question:
Prove the statement for positive integers n and r, with r ≤ n.
P(n, 0) = 1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 78% (14 reviews)
Pnr rn n nr ...View the full answer
Answered By
Carly Cimino
As a tutor, my focus is to help communicate and break down difficult concepts in a way that allows students greater accessibility and comprehension to their course material. I love helping others develop a sense of personal confidence and curiosity, and I'm looking forward to the chance to interact and work with you professionally and better your academic grades.
4.30+
12+ Reviews
21+ 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 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 does the following code fragment print? int[] a = { 1, 2, 3 }; int[] b = { 1, 2, 3 }; System.out.println(a == b);
-
A skeleton of Pine Florals' income statement appears as follows (amounts in thousands): Use the following ration data to complete Pine Florials' income statement: a. Inventory tunover was 4...
-
Evaluate the integrals in Problem. (x + 2) dx x +4x 9
-
Copy your worksheet from Question 6 into another worksheet. Change the increase from 10% to 18%. Protect the worksheet, so that changes cannot be made. Question 6 Open a new spreadsheet. Type...
-
Kishkumen Company had the following capital structure at December 31, 2011 and 2012: The following additional information is available. (a) The conversion terms of the preferred stock and bonds at...
-
How Safe Are You? Assume one of your favorite activities is mountain climbing. When you go mountain climbing, you have several safety devices to keep you from falling. You notice that attached to one...
-
3 Why would market analysis and strategic planning be important to Blackbeard?
-
Prove the statement for positive integers n and r, with r n. P(n, 1) = n
-
Prove the statement for positive integers n and r, with r n. P(n, n) = n!
-
Unsure Corp. has recently decided to implement a pension plan for its employees; however, it is unsure if it would like to structure the pension as a defined contribution plan or a defined benefit...
-
In what ways does a Critical Chain plan address Demings concerns about common cause variation?
-
How is the auditor's required confidence level influenced by control risk?
-
What are the main objectives when conducting substantive tests of account balances?
-
What is the relationship between the tolerable rate of deviation and sample size?
-
When would testing application controls warrant performing a test of more than one?
-
A spring has a spring constant k of 88.0 N/m. How much must this spring be compressed to store 45.0 J of potential energy?
-
Catherine (aged 42) and Johnson (aged 45) have been married for 12 years. Johnson is a project manager of an event company at a monthly salary of $55,000 with an additional one-month salary of...
-
In Exercises 1920, a few steps in the process of simplifying the given matrix to row-echelon form, with 1s down the diagonal from upper left to lower right, and 0s below the 1s, are shown. Fill in...
-
In Exercises 1427, perform the indicated matrix operations given that A, B, C, and D are defined as follows. If an operation is not defined, state the reason. -2A + 4D A = [2 -1 5 3 12 C = -1 1 3 2...
-
In Exercises 1318, use the fact that if then to find the inverse of each matrix, if possible. Check that AA -1 = I 2 and A -1 A = I 2 . A = a C b d
-
= Suppose f(z) is analytic for |z| < 3. If |(z)| 1, and (i) (1) = 0, what is the maximum value of |f(0)|? For which func- tions is the maximum attained?
-
Determine if the following equations can be solved by separation of variables, and if they are, it solves the problems. 1. 5x7dy+9xy5 = 0 dx 2. -xe +y=0 3. 5xy'-11y = 0 Graph both equations, the...
-
4. Write as a single power, then evaluate. Express answers in rational form. a) V55 -16 b) c) 284 7 18 (9) d) 2
Study smarter with the SolutionInn App