4. a) 15 b) 225 c) 375 5. a) 338 b) 676 c) The heart is on the bottom and the black card on top, or the black card on the bottom and the heart on top: 13 26+26 13 = 676. The heart is chosen in 13 ways, the black card in 26 ways, and the card on the bottom in 2 ways: 13.26-2 = 676. d) Because in part b, the order in which the cards are drawn matters. 6. a) 72 b) 102 c) 2, 3 and 5 7. a) 128 b) 64 c) 63 d) Why are the answers different in parts a and b? Exercise 6 In ice cream kiosks, you can choose a cone, flavor, and toppings for an ice cream dish. a) The first kiosk has three cones, six flavors, and four different toppings. How many different ice cream dishes can be made? b) The second kiosk only has a total of 30 different ice cream dishes. How many different ice cream dishes can a customer choose if they can go to either kiosk? c) Can you determine the number of cones, flavors, and toppings in the second kiosk? The order of these cannot be known, but the quantities are unique integers.

4. a) 15 b) 225 c) 375 5. a) 338 b) 676 c) The heart is on the bottom and the black card on top, or the black card on the bottom and the heart on top: 13 26+26 13 = 676. The heart is chosen in 13 ways, the black card in 26 ways, and the card on the bottom in 2 ways: 13.26-2 = 676. d) Because in part b, the order in which the cards are drawn matters. 6. a) 72 b) 102 c) 2, 3 and 5 7. a) 128 b) 64 c) 63 d) Why are the answers different in parts a and b? Exercise 6 In ice cream kiosks, you can choose a cone, flavor, and toppings for an ice cream dish. a) The first kiosk has three cones, six flavors, and four different toppings. How many different ice cream dishes can be made? b) The second kiosk only has a total of 30 different ice cream dishes. How many different ice cream dishes can a customer choose if they can go to either kiosk? c) Can you determine the number of cones, flavors, and toppings in the second kiosk? The order of these cannot be known, but the quantities are unique integers.

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 4CT: Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books...

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