Solve the problem.A license plate is to consist of 2 letters followed by 4 digits. Determine the number of different license plates possible if repetition of letters and numbers is not permitted.

Solve the problem.8 basketball players are to be selected to play in a special game. The players will be selected from a list of 27 players. If the players are selected randomly, what is the probability that the 8 tallest players will be selected?

Solve the problem.How many different 4-topping pizzas can be made if there are 8 individual toppings to choose from? Assume that no topping is used more than once and that the order of the toppings on the pizza is unimportant.

Find the expected value.Suppose you pay $3.00 to roll a fair (6-sided) die with the understanding that you will get back $5.00 for rolling a 1 or a 5, nothing otherwise. What is your expected net winnings?

Solve the problem.In a certain lottery, 3 different numbers between 1 and 8 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is unimportant.

Solve the problem.How many different 6-letter sequences can be made using the first 11 letters of the alphabet? Assume that repetition of letters is allowed.

Find the expected value.The following table gives the distribution of heights for female students at one U.S. college. Distribution of heights HEIGHT CATEGORY (INCHES) PERCENTAGE 57 – 59 7.8% 60 – 62 19.4% 63 – 65 37.5% 66 – 68 19.6% 69 – 71 11.0% 72 and older 4.7% Find the expected value of height for women at this college. Use the midpoint of each category, (for example use 58 for the 57-59 category). Use 74 for the 72 and over category.

Find the expected value.Numbers is a game where you bet $1.00 on any three-digit number from 000 to 999. If your number comes up, you get $600.00. If your number doesn’t come up, you lose your $1. Find the expected net winnings.

Solve the problem.How many ways can an IRS auditor select 3 of 11 tax returns for an audit?

Solve the problem.A pizza restaurant advertises 120 different 3-topping pizzas. How many individual toppings does the restaurant use? Assume that no topping is used more than once on a pizza and that the order of the toppings on the pizza is unimportant.