Difference between revisions of "2004 AMC 10A Problems/Problem 12"
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==Solution== | ==Solution== | ||
For each condiment, a customer may either choose to order it or not. There are <math>8</math> total condiments to choose from. Therefore, there are <math>2^8=256</math> ways to order the condiments. There are also <math>3</math> choices for the meat, making a total of <math>256\times3=768</math> possible hamburgers. <math>\boxed{\mathrm{(C)}\ 768}</math> | For each condiment, a customer may either choose to order it or not. There are <math>8</math> total condiments to choose from. Therefore, there are <math>2^8=256</math> ways to order the condiments. There are also <math>3</math> choices for the meat, making a total of <math>256\times3=768</math> possible hamburgers. <math>\boxed{\mathrm{(C)}\ 768}</math> | ||
+ | |||
+ | == Video Solution == | ||
+ | https://youtu.be/3MiGotKnC_U?t=950 | ||
+ | |||
+ | ~ ThePuzzlr | ||
== Video Solution == | == Video Solution == |
Revision as of 10:09, 19 October 2021
Problem
Henry's Hamburger Haven offers its hamburgers with the following condiments: ketchup, mustard, mayonnaise, tomato, lettuce, pickles, cheese, and onions. A customer can choose one, two, or three meat patties and any collection of condiments. How many different kinds of hamburgers can be ordered?
Solution
For each condiment, a customer may either choose to order it or not. There are total condiments to choose from. Therefore, there are
ways to order the condiments. There are also
choices for the meat, making a total of
possible hamburgers.
Video Solution
https://youtu.be/3MiGotKnC_U?t=950
~ ThePuzzlr
Video Solution
https://youtu.be/0W3VmFp55cM?t=373
~ pi_is_3.14
Video Solution
Education, the Study of Everything
See also
2004 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.