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An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?

A single die is rolled twice. Find the probability of rolling a 2 the first time and a 3 the second time.

A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people have volunteered for the test, in how many ways can 6 people be selected?

Baskin-Robbins offers 31 different flavors of ice cream. One of its items is a bowl consisting of three scoops of ice cream, each a different flavor. How many such bowls are possible?

Some three-digit numbers, such as 101 and \(313,\) read the same forward and backward. If you select a number from all threedigit numbers, find the probability that it will read the same forward and backward.

Use the formula for the sum of the first n terms of a geometric sequence to solve Exercises \(71-76\). You are investigating two employment opportunities. Company A offers \(\$ 30,000\) the first year. During the next four years, the salary is guaranteed to increase by \(6 \%\) per year. Company \(\mathrm{B}\) offers \(\$ 32,000\) the first year, with guaranteed annual increases of \(3 \%\) per year after that. Which company offers the better total salary for a five-year contract? By how much? Round to the nearest dollar.

On New Year's Eve, the probability of a person driving while intoxicated or having a driving accident is \(0.35 .\) If the probability of driving while intoxicated is 0.32 and the probability of having a driving accident is \(0.09,\) find the probability of a person having a driving accident while intoxicated.

What does the graph of a sequence look like? How is it obtained?

Use the formula for the value of an annuity to solve Exercises 77–84. Round answers to the nearest dollar. At age \(25,\) to save for retirement, you decide to deposit \(\$ 75\) at the end of each month in an IRA that pays \(6.5 \%\) compounded monthly. a. How much will you have from the IRA when you retire at age \(65 ?\) b. Find the interest.

A degree-day is a unit used to measure the fuel requirements of buildings. By definition, each degree that the average daily temperature is below \(65^{\circ} \mathrm{F}\) is 1 degree-day. For example, an average daily temperature of \(42^{\circ} \mathrm{F}\) constitutes 23 degree-days. If the average temperature on January 1 was \(42^{\circ} \mathrm{F}\) and fell \(2^{\circ} \mathrm{F}\) for each subsequent day up to and including January 10 how many degree-days are included from January 1 to January \(10 ?\)