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
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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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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