(a) In how many ways can the integers 1, 2, 3, . . . , n be...
Question:
(b) Show that the result in part (a) equals dn-1 + dn. (dn = the number of derangements of 1, 2, 3, ..., n.)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 28% (7 reviews)
a For 1 i n 1 let c i denote the occurrence of the pattern ii ...View the full answer
Answered By
Rodrigo Louie Rey
I started tutoring in college and have been doing it for about eight years now. I enjoy it because I love to help others learn and expand their understanding of the world. I thoroughly enjoy the "ah-ha" moments that my students have. Interests I enjoy hiking, kayaking, and spending time with my family and friends. Ideal Study Location I prefer to tutor in a quiet place so that my students can focus on what they are learning.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Question Posted:
Students also viewed these Linear Algebra questions
-
In how many ways can the integers 1, 2, 3,..., 10 be arranged in a line so that no even integer is in its natural position?
-
Answer part (a) of Exercise 14 if the numbers are arranged in a circle, and, as we count clockwise about the circle, none of the patterns 12, 23, 34, ..., (n - 1)n, n1 occurs. Exercise 14 In how many...
-
(a) In how many ways can 6 people be lined up to get on a bus? (b) If 3 specific persons, among 6, insist on following each other, how many ways are possible? (c) If 2 specific persons, among 6,...
-
The HaberBosch process for the production of ammonia is one of the key industrial processes in developed countries. N 2 (g) + 3 H 2 (g) 2 NH 3 (g) (a) Calculate r G for the reaction at 298 K, 800...
-
Why are good work habits and time management so effective in reducing job stress?
-
Provide examples of at least three different structures used for bacterial attachment and explain which are useful in the formation of bioflms.
-
Identify each of the following as land (L) or land improvements (LI): 1. Survey fees 2. Fencing 3. Lighting 4. Clearing land 5. Parking lot
-
The administrator of elections for the city of Crossville has been asked to perform an activity analysis of its optical scanning center. The optical scanning center reads voter forms into the...
-
Revenue and expense data for Tribal Technologies Co. are as follows: 2018 2017 Sales $429,000 $365,000 Cost of goods sold 253,110 197,100 Selling expenses 68,640 65,700 Administrative expenses 77,220...
-
1. By changing the way his group talks about IT investments, CIO Tim Schaefer is trying to change the way the rest of the company sees IT. Why do you think this is necessary? What would be the...
-
Give a combinatorial argument to verify that for all n Z+, (For each 1 k n, dk = the number of derangements of 1, 2, 3, . . . , k; d0 = 1.) In k-
-
(a) List all the derangements of 1, 2, 3, 4, 5 where the first three numbers are 1, 2, and 3, in some order. (b) List all the derangements of 1, 2, 3, 4, 5, 6 where the first three numbers are 1, 2,...
-
"Non-financial measures of performance can be controlled just like financial measures." Do you agree? Explain.
-
Compare the objectives of a product to its features.
-
Compare and contrast components to objects.
-
What is the role of domain analysis in designing a product?
-
Briefly describe how development moves from conceptual modeling to logical and physical designs. Provide one example for a non-IS product and one for an IS product.
-
Describe multiple interfaces and explain why or when they are needed.
-
A solution is made by adding 50.0 mL of 0.200 M acetic acid (Ka 5 1.8 3 1025) to 50.0 mL of 1.00 3 1023 M HCl. a. Calculate the pH of the solution. b. Calculate the acetate ion concentration.
-
For the following exercises, rewrite the sum as a product of two functions or the product as a sum of two functions. Give your answer in terms of sines and cosines. Then evaluate the final answer...
-
Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day)...
-
Figure 2 . 1 8 shows a network of water pipes with flows measured in liters per minute. (a) Set up and solve a system of linear equations to find the possible flows. (b) If the flow through AB is...
-
The downtown core of Gotham City consists of one-way streets, and the traffic flow has been measured at each intersection. For the city block shown in Figure 2.19, the numbers represent the average...
-
Drumpf Country Club has the only golf course in Distopia. The (annual) demand to play a round of golf on its course is given by D (p) = 12000 - 10p where D (p) is the number of rounds demanded each...
-
Research organizational structure of a company of your choice. Use your understanding of organizational structure to analyze whether this organization's structure is the best choice for the business...
-
Compute the cost assigned to ending inventory using fifo, lifo, weighted average, and specific identification. for specific identifications, units sold include 4 5 units from beginning inventory, 1 7...
Study smarter with the SolutionInn App