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Math 133 Study Guide and Problem Set for Hour Quiz #3 C.S.Davis |
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This document is completed except for section 5.6 |
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Study Guide #3 |
Problem Set #3 |
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You are responsible for the subject matter in chapter 5.. The following topics are the most important. Typical exercises from Finite Mathematics and Its Applications, eighth edition, by Goldstein/Schneider/Seigel, are assigned at the end of each objective. Work additional exercises if you need more practice. The answers to the odd numbered problems are in the back of the text. These exercises are for practice and are not graded. |
The problem set, made up of the problems below, is graded in class. See the Semester Plan for the current dates for the grading of the problem sets and taking of the hour quizzes. |
| 5.1 | 5.1 |
| 1. Use this terminology (element, equal sets, set builder notation, universal set, subset, empty set, disjoint sets) and the operations on sets (intersection, union and complement). P213#1,5,7,9-13,33-45 odd | P214#14,34-48even |
| 5.2 | 5.2 |
| 1. State and use the inclusion-exclusion principle. P220#1-13 odd | P220#6,10,14 |
| 2. Use Venn Diagrams. P220#15-37 odd | P220#22,26 |
| 3. State and use De Morgan's laws. P220#39,41,43 | P220#40 |
| 5.3 | 5.3 |
| 1. Solve counting problems using Venn Diagrams having four and eight basic regions. P226#1-21 odd,27-39 odd,47 | P226#6,12,18,42,44,46 |
| 5.4 | 5.4 |
| 1. Solve counting problems using the Generalized Multiplication principle. P232#1-31 odd | P232#4,8,14,16,20,24,26,28,32,34,36 |
| 5.5 | 5.5 |
| 1. Evaluate expressions involving factorials and the number of combinations and permutations. P239#1-19 odd | P239#4,8,18 |
| 2. Distinguish between permutations and combinations. P239#21-57 odd | P239#22,26,32,36,42,46,48,50,52,56,66,72 |
| 5.6 | 5.6 |
| 1. Solve counting problems involving permutations and combinations. P245#1-35 odd | P239(not yet selected) |
| 5.7 | 5.7 |
| 1. Solve counting problems involving binomial distributions. P252#1,9,17,19,27,35,37,41 | P252#2,10,18,20,28,36,44 |
| 5.8 | 5.8 |
| 1. Solve counting problems involving these
multinomial partitions: a. ordered partitions of different sizes, P257#5,15,17 b. ordered partitions of the same size, P257#7 c. unordered partitions of the same size. P257#11,19,23,27 |
P257#6,22 P257#10,16 P257#12,18 |