2001 AMC 8 Problem 14
Attempt Problem 14 of the 2001 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2001 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
Tyler has entered a buffet line in which he chooses one kind of meat, two different vegetables and one dessert. If the order of food items is not important, how many different meals might he choose?
Meat: beef, chicken, pork
Vegetables: baked beans, corn, potatoes, tomatoes
Dessert: brownies, chocolate cake, chocolate pudding, ice cream
Answer: C
Small hint:
Choose the two vegetables as an unordered pair
Big hint:
Multiply meat choices, vegetable pairs, and dessert choices
Solution:
He has choices for the meat and choices for dessert.
He must choose of the vegetables. Since order does not matter, there are vegetable choices.
This gives possible meals.
Thus, C is the correct answer.
Problem 14 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
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- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
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