Exercise 7 A pizzeria offers a total of 7 different topping options, one of which is pineapple. You can choose any number of toppings for the pizza, including all seven or any number less. A pizza with no toppings is also possible. a) How many different pizzas can be made? b) Pineapple must always be on the pizza. How many different pizzas can now be made? c) How many pizzas are there if pineapple is always on the pizza and a pizza without toppings is not possible? 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
Exercise 7 A pizzeria offers a total of 7 different topping options, one of which is pineapple. You can choose any number of toppings for the pizza, including all seven or any number less. A pizza with no toppings is also possible. a) How many different pizzas can be made? b) Pineapple must always be on the pizza. How many different pizzas can now be made? c) How many pizzas are there if pineapple is always on the pizza and a pizza without toppings is not possible? 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
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 6CT
Related questions
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Topics combinatorics.
Please correctly and handwritten.
Transcribed Image Text:Exercise 7
A pizzeria offers a total of 7 different topping options, one of which is pineapple.
You can choose any number of toppings for the pizza, including all seven or any number less.
A pizza with no toppings is also possible.
a) How many different pizzas can be made?
b) Pineapple must always be on the pizza.
How many different pizzas can now be made?
c) How many pizzas are there if pineapple is always on the pizza and a pizza without toppings is not possible?
Transcribed Image Text: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
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