**Problems 1-6**

Read the section first and then paraphrase each of the requested voting methods in your own words.

**Problems 7-11**

There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have “right” or “wrong” answers. You should spend about five minutes in answering each of these questions.

**Problems 12-17**

This set of problems are here to make sure you understand the notation and terminology of this section. The understanding of these problems are necessary for you to understand the material that follows in this chapter.

**Problems 18-23**

This set of problems are here to make sure you understand the notation and terminology of this section. The understanding of these problems are necessary for you to understand the material that follows in this chapter.

**Problem 24**

Remember, a dictatorship is when one person alone makes the decision.

**Problem 25**

You can use the Fundamental Counting Principle to answer this question.

**Problems 26-28**

Look for patterns; Problems 26 and 27 are designed to lead you to the formula stated in Problem 28.

**Problem 29**

Use the majority rule, as shown in Example 1.

**Problem 30**

Use the plurality method, as shown in Examples 2 and 3.

**Problem 31**

Use the Borda count method, as shown in Example 4.

**Problem 32**

Use the Hare method, as shown in Example 5.

**Problem 33**

Use the pairwise comparison method, as shown in Example 6.

**Problem 34**

Use the tournament method, as shown in Example 7.

**Problems 35 and 36**

Use the approval method as shown in Example 9.

**Problems 37-39**

Use the majority rule, as shown in Example 1.

**>Problem 40**

Use the plurality method, as shown in Examples 2 and 3.

**Problem 41**

Use the Borda count method, as shown in Example 4.

**Problem 42**

Use the Hare method, as shown in Example 5.

**Problem 43**

Use the pairwise comparison method, as shown in Example 6.

**Problem 44**

Use the tournament method, as shown in Example 7.

**Problem 45**

Use the majority rule, as shown in Example 1.

**>Problem 46**

Use the plurality method, as shown in Examples 2 and 3.

**Problem 47**

Use the Borda count method, as shown in Example 4.

**Problem 48**

Use the Hare method, as shown in Example 5.

**Problem 49**

Use the pairwise comparison method, as shown in Example 6.

**Problem 50**

Use the tournament method, as shown in Example 7.

### Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

On the other hand, the problems designated “Problem Solving” generally require techniques that do not have textbook examples.

There are many sources for homework help on the internet.

Algebra.help

Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.

http://www.algebrahelp.com/

Quick Math

This site provides online graphing calculators. This is especially useful if you do not have your own calculator.

http://www.quickmath.com/

The Math Forum @ Drexel

This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.

http://mathforum.org/