2001 AMC 8 第 14 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
14.
泰勒进入一条自助餐队伍，他要选择一种肉、两种不同的蔬菜和一种甜点。如果食物选择的顺序不重要，他可能选择多少种不同的餐食？
肉类：牛肉、鸡肉、猪肉
蔬菜：烤豆、玉米、土豆、番茄
甜点：布朗尼、巧克力蛋糕、巧克力布丁、冰淇淋
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
小提示：
将两种蔬菜看作无序的一对
Choose the two vegetables as an unordered pair
大提示：
将肉类选择数、蔬菜组合数和甜点选择数相乘
Multiply meat choices, vegetable pairs, and dessert choices
解答：
他有 种肉类选择和 种甜点选择。
他必须从 种蔬菜中选 种。因为顺序不重要，蔬菜选择有 种。
因此可能的餐食数为 。
所以正确答案是 C。
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.
其他年份的第 14 题
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