This morning I stopped at Dunkin’ Donuts for a coffee.  They sell coffee in small, medium, large and extra-large.  There are four kinds of coffee.  They also offer 7 different kinds of flavor shots.  How many different ways could I order my coffee?  1. Use a table, tree diagram, or some other strategy to find the total number of ways I could order my coffee.  (Keep in mind that you do not have to add a flavor shot.) 2. I finally made my decision and the barista asked me if I would like to add whipped cream, chocolate syrup, or caramel syrup. AAaaaaahhhh!!! How many total ways could I have ordered the coffee now? 3. As I went to pay for my coffee, I saw a sign saying, “Win free coffee for a year! Choose 4 different digits from 1 to 9 to create a 4-digit passcode.  Enter your passcode online and if you match our secret passcode, you’ll win free coffee for a year!”  How many different passcodes could I choose? 4. Dunkin’ Donuts is thinking about offering a promotion to win free coffee for life.  For this contest, the customer will have to use all the digits from 1 to 9 to create a nine-digit passcode. How many ways can this be done?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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This morning I stopped at Dunkin’ Donuts for a coffee.  They sell coffee in small, medium, large and extra-large.  There are four kinds of coffee.  They also offer 7 different kinds of flavor shots.  How many different ways could I order my coffee? 

1. Use a table, tree diagram, or some other strategy to find the total number of ways I could order my coffee.  (Keep in mind that you do not have to add a flavor shot.)

2. I finally made my decision and the barista asked me if I would like to add whipped cream, chocolate syrup, or caramel syrup. AAaaaaahhhh!!! How many total ways could I have ordered the coffee now?

3. As I went to pay for my coffee, I saw a sign saying, “Win free coffee for a year! Choose 4 different digits from 1 to 9 to create a 4-digit passcode.  Enter your passcode online and if you match our secret passcode, you’ll win free coffee for a year!”  How many different passcodes could I choose?

4. Dunkin’ Donuts is thinking about offering a promotion to win free coffee for life.  For this contest, the customer will have to use all the digits from 1 to 9 to create a nine-digit passcode. How many ways can this be done?




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