1. A frozen yogurt shop allows you to choose one flavor (vanilla, strawberry, lemon, cherry, or peach), one topping (chocolate shavings, crushed toffee, or crushed peanut brittle), and one condiment (whipped cream or shredded coconut). How many different desserts are possible? 3. A video game is begun by making selections from each of 3 menus. The first menu (number of players) has 4 selections, the second menu (level of play) has 8, and the third menu (speed) has 6. In how many configurations can the game be played? 5. A user's password to access a computer system consists of 3 letters followed by 2 digits. How many dif- ferent passwords are possible? 7. A telephone conference call is being placed from Central City to Booneville by way of Cloverdale. There are 45 trunk lines from Central City to Cloverdale and 13 from Cloverdale to Booneville. How many dif- ferent ways can the call be placed? 9. How many nine-digit Social Security numbers are possible? II. A palindrome is a string of characters that reads the same forward and backward. How many five-letter English language palindromes are possible? 17. A dinner special allows you to select from 5 appetizers, 3 salads. 4 entrees, and 3 beverages. How many different dinners are there? Exercises 27-31 concem the set of three-digit integers (mumbers between 100 and 999 inclusive). 27. How many are divisible by 5? 29. How many are not divisible by 5? 31. How many are divisible by 4 and 5?