(a) List all the derangements of 1, 2, 3, 4, 5 where the first three numbers are...

Question:

(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, and 3, in some order.

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

Step by Step Answer:

Related Book For book-img-for-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Question Posted: Jun 21, 2016 08:38 AM

See More Questions

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) In how many ways can the integers 1, 2, 3, . . . , n be arranged in a line so that none of the patterns 12, 23, 34,..., (n - 1)n occurs? (b) Show that the result in part (a) equals dn-1 + dn. (dn...
For n Z+, dn denotes the number of derangements of {1, 2, 3, . . ., n], as discussed in Section 8.3. (a) If n > 2, show that dn satisfies the recurrence relation dn = (n - l)(dn-1 + dn-2), d2 = l, d1...
Have you ever had to cope with the loss of a loved one? If so, what concepts described in this section provide context that may help you understand your experience and process of grieving?
Assume that it really is possible to be highly productive even if your work area is cluttered and littered. Why might having an uncluttered, tidy work area still help you in your career?
Return to the birthday problem on page 30. How many different sets of birthdays are available with k people and 365 days when we dont distinguish the same birthdays in different orders? For example,...
P(0.18 < z < 2.46) Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
Winsey Company purchased equipment on January 2, 2016, for $700,000. The equipment has the following characteristics: Estimated service Ife 20 years, 100,000 hours, 950,000 units of output Estimated...
Galaxy Sports Inc. manufactures and sells two styles of All Terrain Vehicles (ATVS), the Conquistador and Hurricane, from a single manufacturing facility. The manufacturing facility operates at 100%...
Suppose that computers use 2 units of capital for each worker, so that KC = 2 ¢ LC, whereas shoes use 0.5 units of capital for each worker, so that KS = 0.5 ¢ LS. There are 100 workers and...
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...
How many derangements are there for 1, 2, 3, 4, 5?
For H2(g) + Br2(g) 2HBr(g) K = 72 10-4 at 1362K and H is positive. A vessel is charged with 48.0 PA HBr,1370 PaH2, and 3310 Pa Br2 at 1362 K. (a) Will the reaction proceed to the left or the right...
Briefly explain how the use of a cash register provides internal control over cash receipts.
From the following business transactions in July 2022 you are required to prepare comparative general journals for both perpetual and periodic inventory; post to the general ledger, where the...
At the end of the financial year, prepare the general journal to close out the sales account $32 000 and cost of sales account $19 500 to trading account and post to the general ledger.
From the following transactions of D Brad made in January 2022, you are required to prepare the general journals using perpetual inventory, post to the general ledger in the format provided in the...
If inventory (opening) is $800, purchases $4000, freight inwards $100 and inventory (closing) $1000, what is the cost of sales?
Each of the following situations occurred during 2024 for one of your audit clients: 1. An inventory write-down due to obsolescence. 2. Discovery that depreciation expenses were omitted by accident...
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, 500 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)...
(a) Find the currents I, I1( ( ( ( ( I5 in the bridge circuit in Figure 2.22. (b) Find the effective resistance of this network. (c) Can you change the resistance in branch BC (but leave everything...
The networks in parts (a) and (b) of Figure 2.23 show two resistors coupled in series and in parallel, respectively. We wish to find a general formula for the effective resistance of each...
For each ordered pair, determine -6x+7y=2 7x-4y=6 a solution to the system of equations.
Review the meaning of the concepts or terms given in Key Terms and Concepts. Distinguish between a production department and a service department. Distinguish between a direct cost and an indirect...
What would you like the members of your learning community to know about your global health interests, perspectives, and life experiences? How will you prepare to listen and learn from others? Why...

(a) List all the derangements of 1, 2, 3, 4, 5 where the first three numbers are...

Question:

Step by Step Answer:

a There are only two derangemen...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these Linear Algebra questions