1. You go to the snack bar to buy a bagel and a drink for lunch. You can choose from a plain bagel, a blueberry bagel, or a raisin bagel. The choices for a drink include water or a sports drink. How many different lunches could be made with these choices? 3x2=6

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.1: Counting
Problem 28E
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Fundamental Counting Principle
Worksheet
Name
Olivia. L
1. You go to the snack bar to buy a bagel and a drink for lunch. You can choose from a plain bagel, a
blueberry bagel, or a raisin bagel. The choices for a drink include water or a sports drink. How many
different lunches could be made with these choices?
3x2=6
2. The math club is electing new officers. There are 3 candidates for president, 4 candidates for vice-
president, 4 candidates for secretary, and 2 candidates for treasurer. How many different combinations of
officers are possible?
3x4x4x2 = 96
3. You go to the cafeteria for lunch and have a choice of 4 entrees, 5 sides, 5 drinks, and 4 desserts. Assuming
you have one of each category, how many different lunches could be made?
4 XS XS loo
4. You go to the home electronics store to buy a new television. You have the following choices: rear
projection, lcd, dlp, crt, or plasma; full screen or wide screen; 13", 19" 27", 32", 36", 41", 5.1", or 63".
How many different televisions does the store have to offer?
8
4x²x8=64
5. You wake up in the morning and go to the pantry to look for breakfast. You have a choice of Pop-Tarts,
muffins, granola bars, or cereal. To drink you have a choice of whole milk, 2% milk, skim milk, orange
juice, apple juice, and water. Your mother insists that you take a multi-vitamin with your breakfast. You
can choose from Flintstones vitamins, One-a-Day vitamins, or Chock's Vitamins. How many different
make?
breakfasts made up of an entrée, drink, and vitamin could you
4x6x3=72
6. You go to Wal-mart to buy batteries. You can choose from EverReady, Duracell, or Ray-O-Vac. Once you
decide on the brand you then have to decide whether to get alkaline or non-alkaline batteries. Finally you
must decide between AAA, AA, C, or D batteries. How many different kinds of batteries are available for
you to buy?
4
3×2 x 4 = 24
2
7. Sarah goes to her local pizza parlor and orders a pizza. She can choose either a large or a medium pizza,
has a choice of seven different toppings, and can have three different choices of crust. How many
pizzas could Sarah order?
different
7
7X2 X 3 = 42
9
8. Derek must choose a four-digit PIN number. Each digit can be chosen from 0 to 9. How many different
possible PIN numbers can Derek choose?
10 × 4 = 40
Tree Diagram
you
A. At the after school Tiger Club meeting, there were
four drinks you could choose from: orange, juice,
coke, Dr. Pepper, and water. There were three
snacks could choose from: peanuts, fruit, and
cookies. Each student may only have one drink and
one snack. Create a tree diagram (on a separate
sheet of paper) showing all possible choices
available.
P(orange juice & Peanuts)
P(cookies)
P(Dr. Pepper
B. Tanya went shopping and bought the following
items: one red t-shirt, one blue blouse, one white t-
shirt, one floral blouse, one pair of khaki Capri
pants, one pair of black pants, one pair of white
Capri pants, and one pair of denim shorts. Create a
tree diagram (on a separate sheet of paper) showing
all possible choices available.
P(red t-shirt and white Capri pants)
1.
2. P(floral blouse and black pants)
3. P(denim shorts)
Transcribed Image Text:Fundamental Counting Principle Worksheet Name Olivia. L 1. You go to the snack bar to buy a bagel and a drink for lunch. You can choose from a plain bagel, a blueberry bagel, or a raisin bagel. The choices for a drink include water or a sports drink. How many different lunches could be made with these choices? 3x2=6 2. The math club is electing new officers. There are 3 candidates for president, 4 candidates for vice- president, 4 candidates for secretary, and 2 candidates for treasurer. How many different combinations of officers are possible? 3x4x4x2 = 96 3. You go to the cafeteria for lunch and have a choice of 4 entrees, 5 sides, 5 drinks, and 4 desserts. Assuming you have one of each category, how many different lunches could be made? 4 XS XS loo 4. You go to the home electronics store to buy a new television. You have the following choices: rear projection, lcd, dlp, crt, or plasma; full screen or wide screen; 13", 19" 27", 32", 36", 41", 5.1", or 63". How many different televisions does the store have to offer? 8 4x²x8=64 5. You wake up in the morning and go to the pantry to look for breakfast. You have a choice of Pop-Tarts, muffins, granola bars, or cereal. To drink you have a choice of whole milk, 2% milk, skim milk, orange juice, apple juice, and water. Your mother insists that you take a multi-vitamin with your breakfast. You can choose from Flintstones vitamins, One-a-Day vitamins, or Chock's Vitamins. How many different make? breakfasts made up of an entrée, drink, and vitamin could you 4x6x3=72 6. You go to Wal-mart to buy batteries. You can choose from EverReady, Duracell, or Ray-O-Vac. Once you decide on the brand you then have to decide whether to get alkaline or non-alkaline batteries. Finally you must decide between AAA, AA, C, or D batteries. How many different kinds of batteries are available for you to buy? 4 3×2 x 4 = 24 2 7. Sarah goes to her local pizza parlor and orders a pizza. She can choose either a large or a medium pizza, has a choice of seven different toppings, and can have three different choices of crust. How many pizzas could Sarah order? different 7 7X2 X 3 = 42 9 8. Derek must choose a four-digit PIN number. Each digit can be chosen from 0 to 9. How many different possible PIN numbers can Derek choose? 10 × 4 = 40 Tree Diagram you A. At the after school Tiger Club meeting, there were four drinks you could choose from: orange, juice, coke, Dr. Pepper, and water. There were three snacks could choose from: peanuts, fruit, and cookies. Each student may only have one drink and one snack. Create a tree diagram (on a separate sheet of paper) showing all possible choices available. P(orange juice & Peanuts) P(cookies) P(Dr. Pepper B. Tanya went shopping and bought the following items: one red t-shirt, one blue blouse, one white t- shirt, one floral blouse, one pair of khaki Capri pants, one pair of black pants, one pair of white Capri pants, and one pair of denim shorts. Create a tree diagram (on a separate sheet of paper) showing all possible choices available. P(red t-shirt and white Capri pants) 1. 2. P(floral blouse and black pants) 3. P(denim shorts)
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Tanya went shopping and bought the following items: one red t-shirt, one blue blouse, one white t- shirt, one floral blouse, one pair of khaki Capri pants, one pair of black pants, one pair of white Capri pants, and one pair of denim shorts. Create a tree diagram (on a separate sheet of paper) showing all possible choices available. P(red t-shirt and white Capri pants) 1. 2. P(floral blouse and black pants) 3. P(denim shorts) 

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