4. A car dealership has 5 minis (M), 8 convertibles (C) and 14 sedans (S) in its inventory. Throughout this problem, assume that the unordered/ordered lists cannot include duplicates. (a) An unordered list of 20 cars is a combination of 20 cars from this car dealership where the order does not matter, that is to say that if two lists include the same 20 cars they are considered to be the same unordered lists. How many unordered lists of 20 cars can be created in which no car is displayed more than once? (b) If you create an unordered list of 20 cars completely at random (that is, any car is equally likely to be picked), what is the probability that the list includes all 8 convertibles? (c) An ordered list of 4 cars is a sequence of 4 cars from this car dealership where the cars are displayed in a specific order, that is to say that two lists including the same 4 cars in a different order are considered different ordered lists. How many ordered lists of 4 cars can be created in which no car is displayed more than once?

4. A car dealership has 5 minis (M), 8 convertibles (C) and 14 sedans (S) in its inventory. Throughout this problem, assume that the unordered/ordered lists cannot include duplicates. (a) An unordered list of 20 cars is a combination of 20 cars from this car dealership where the order does not matter, that is to say that if two lists include the same 20 cars they are considered to be the same unordered lists. How many unordered lists of 20 cars can be created in which no car is displayed more than once? (b) If you create an unordered list of 20 cars completely at random (that is, any car is equally likely to be picked), what is the probability that the list includes all 8 convertibles? (c) An ordered list of 4 cars is a sequence of 4 cars from this car dealership where the cars are displayed in a specific order, that is to say that two lists including the same 4 cars in a different order are considered different ordered lists. How many ordered lists of 4 cars can be created in which no car is displayed more than once?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CT: Chapter Test

Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....

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