Problem 1TI: A student is shopping for a new computer. He is deciding among 3 desktop computers and 4 laptop... Problem 2TI: A restaurant offers a breakfast special that includes a breakfast sandwich, a side dish, and a... Problem 3TI: A family of five is having portraits taken. Use the Multiplication Principle to find how many ways... Problem 4TI: A family of five is having portraits taken. Use the Multiplication Principle to find how many ways... Problem 5TI: A family of five is having portraits taken. Use the Multiplication Principle to find how many ways... Problem 6TI: A play has a cast of 7 actors preparing to make their curtain call. Use the permutation formula to... Problem 7TI: A play has a cast of 7 actors preparing to make their curtain call. Use the permutation formula to... Problem 8TI: An ice cream shop offers 10 flavors of ice cream. How many ways are there to choose 3 flavors for a... Problem 9TI: A sundae bar at a wedding has 6 toppings to choose from. Any number of toppings can be chosen. How... Problem 10TI: Find the number of rearrangements of the letters in the wordCARRIER. Problem 1SE: For the following exercises, assume that there are n ways an event A can happen, m ways an event B... Problem 2SE: For the following exercises, assume that there are n ways an event A can happen, m ways an event B... Problem 3SE: Answer the following questions. 3. When given two separate events, how do we know whether to apply... Problem 4SE: Answer the following questions. 4. Describe how the permutation of ii objects differs from the... Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from... Problem 6SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 7SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 8SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 9SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 10SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 11SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 12SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 13SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 14SE: For the following exercises, determine whether to use the Addition Principle or the Multiplication... Problem 15SE: For the following exercises, compute the value of the expression. 15. P(5,2) Problem 16SE: For the following exercises, compute the value of the expression. 16. P(8,4) Problem 17SE: For the following exercises, compute the value of the expression. 17. P(3,3) Problem 18SE: For the following exercises, compute the value of the expression. 18. P(9,6) Problem 19SE: For the following exercises, compute the value of the expression. 19. P(11,5) Problem 20SE: For the following exercises, compute the value of the expression. 20. C(8,5) Problem 21SE: For the following exercises, compute the value of the expression. 21. C(12,4) Problem 22SE: For the following exercises, compute the value of the expression. 22. C(26,3) Problem 23SE: For the following exercises, compute the value of the expression. 23. C(7,6) Problem 24SE: For the following exercises, compute the value of the expression. 24. C(10,3) Problem 25SE: For the following exercises, find the number of subsets in each given set. 25.... Problem 26SE: For the following exercises, find the number of subsets in each given set. 26. {a,b,c,...,z} Problem 27SE: For the following exercises, find the number of subsets in each given set. 27. A set containing 5... Problem 28SE: For the following exercises, find the number of subsets in each given set. 28. The set of even... Problem 29SE: For the following exercises, find the number of subsets in each given set. 29. The set of two-digit... Problem 30SE: For the following exercises, find the distinct number of arrangements. 30. The letters in the word... Problem 31SE: For the following exercises, find the distinct number of arrangements. 31. The letters in the word... Problem 32SE: For the following exercises, find the distinct number of arrangements. 32. The letters in the word... Problem 33SE: For the following exercises, find the distinct number of arrangements. 33. The symbols in the string... Problem 34SE: For the following exercises, find the distinct number of arrangements. 34. The symbols in the string... Problem 35SE: The set, S consists of 900,000000 whole numbers, each being the same number of digits long. How many... Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element... Problem 37SE: Can C(n,r) ever equal P(n,r)? Explain. Problem 38SE: Suppose a set A has 2,048 subsets. How many distinct objects are contained in A? Problem 39SE: How many arrangements can be made from the letters of the word “mountains” if all the vowels must... Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in... Problem 41SE: A cell phone company offers 6 different voice packages and 8 different data packages. Of those, 3... Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in... Problem 43SE: A wholesale T-shirt company oilers sizes small, medium, large, and extra-large in organic or non-... Problem 44SE: Hector wants to place billboard advertisements throughout the county for his new business. How many... Problem 45SE: An art store has 4 brands of paint pens in 12 different colors and 3 types of ink. How many paint... Problem 46SE: How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and... Problem 47SE: How many ways can a baseball coach arrange the order of 9 batters if there are 15 players on the... Problem 48SE: A conductor needs 5 cellists and 5 violinists to play at a diplomatic event. 10 do this, he ranks... Problem 49SE: A motorcycle shop has 10 choppers, 6 bobbers, and 5 café racers—different types of vintage... Problem 50SE: A skateboard shop stocks 10 types of board decks, 3 types of trucks, and 4 types of wheels. How many... Problem 51SE: Just-For-Kicks Sneaker Company offers an online customizing service. How many ways are there to... Problem 52SE: A car wash offers the following optional services to the basic wash: clear coat wax, triple foam... Problem 53SE: Susan bought 20 plants to arrange along the border of her garden. How many distinct arrangements can... Problem 54SE: How many unique ways can a string of Christmas lights be arranged from 9 red, 10 green, 6 white, and... format_list_bulleted