|
Self-Quizzes
The following is a collection of multiple choice problems that cover similar topics to the suggested homework problems. These problems are provided here to give you further practice with the topics covered in this course. Completion of each quiz is purely optional and does not count towards your overall grade.
For each problem, simply click next to the answer which you think is correct. Then click the appropriate buttons at the bottom of the quiz to check your responses.
You will also find listed below in parentheses, exercises from each chapter that are relevant to the specific section of the book.
If you are having problems using the following files, try downloading the newest version of Adobe Reader and/or the latest Adobe Reader plug-in for your web browser.
5th Edition
| CHAPTER 2 Permutations and Combinations |
| 2.1 Four Basic Counting Principles |
(Exercises from the book: 1-7,44,46) |
| 2.2 Permutations of Sets |
(8,9,14,20,24,25,30) |
| 2.3 Combinations of Sets |
(10,11,12,13,15,16,26,28,31) |
| 2.4 Permutations of Multisets |
(21,22,32,33,34,55) |
| 2.5 Combinations of Multisets |
(35-42) |
| Supplemental Problems |
|
|
| CHAPTER 5 The Binomial Coefficients |
| 5.1 Pascal's Triangle |
(1-3) |
| 5.2 The Binomial Theorem - Quiz 1 |
(4-9) |
| 5.2 The Binomial Theorem - Quiz 2 |
(10,11,13,15,16,18,19,20,22,28) |
| 5.4 The Multinomial Theorem |
(24,37,38,39,40,42) |
|
| CHAPTER 7 Recurrence Relations and Generating Functions |
| 7.1 Some Number Sequences |
(1,8,9,11) |
| 7.2 Generating Functions |
(13-20) |
| 7.4 Solving Linear Homogeneous Recurrence Relations - Quiz 1 |
(31-36) |
| 7.4 Solving Linear Homogeneous Recurrence Relations - Quiz 2 |
(48) |
| 7.5 Nonhomogeneous Recurrence Relations |
(12,38,39,41-47) |
|
| CHAPTER 8 Special Counting Sequences |
| 8.2 Stirling Numbers |
(11-20) |
| 8.3 Partition Numbers |
(25,26,27) |
Supplemental Problems |
|
|
4th Edition
| CHAPTER 3 Permutations and Combinations (Equivalent to Chapter 2 of 5th Edition) |
| 3.1 Four Basic Counting Principles |
(1-7,44,46) |
| 3.2 Permutations of Sets |
(8,9,14,20,24,25,30) |
| 3.3 Combinations of Sets |
(10,11,12,13,15,16,26,28,31) |
| 3.4 Permutations of Multisets |
(21,22,32,33,34,55) |
| 3.5 Combinations of Multisets |
(35-42) |
| See Supplemental Problems for Chapter 2, 5th Edition |
|
|
| CHAPTER 5 The Binomial Coefficients |
| 5.1 Pascal's Formula |
(1-3) |
| 5.2 The Binomial Theorem |
(4-9) |
| 5.3 Identities (Equivalent to 5.2 Quiz 2 from 5th Edition) |
(10,11,13,15,16,18,19,20,22,29) |
| 5.5 The Multinomial Theorem |
(24,38,39,40,41,43) |
|
| CHAPTER 7 Recurrence Relations and Generating Functions |
| 7.1 Some Number Sequences |
(1,8,9,11) |
| 7.2 Linear Homogeneous Recurrence Relations (Equivalent to 7.4 Quiz 1 from 5th Edition) |
(12-17) |
| 7.3 Nonhomogeneous Recurrence Relations (Equivalent to 7.5 from 5th Edition) |
(19,20,22-27,31,33) |
| 7.4 Generating Functions (Equivalent to 7.2 from 5th Edition) |
(28,29,32,34-38) |
| 7.5 Recurrences and Generating Functions (Equivalent to 7.4 Quiz 2 from 5th Edition) |
(30) |
|
| CHAPTER 8 Special Counting Sequences |
| 8.2 Stirling Numbers |
(11-20) |
| 8.3 Partition Numbers |
(25,26,27) |
Supplemental Problems |
|
|
|