AMC 8 2004 Problem 4
AMC8 2004 年第 4 题
排列与组合★☆☆☆☆
Ms. Hamilton’s eighth-grade class wants to participate in the annual three-person-team basketball tournament.
Lance, Sally, Joy, and Fred are chosen for the team. In how many ways can the three starters be chosen?
Hamilton 女士的八年级班级想参加一年一度的三人篮球团体赛。Lance，Sally，Joy 和 Fred 为待选队员。要从中选择三名作为先发球员，一共有多少种方法？
- A.2
- B.4
- C.6
- D.8
- E.10
正确答案 · Correct Answer
B
解析 · Solution
Solution 1
There are ways to choose three starters. Thus the answer is 4.
We can choose 3 people by eliminating one from a set of 4 one at a time and the other three get selected. There are 4 ways to remove a person from a group of four (without considering order), so there are 4 ways to choose three people, where order doesn't matter.
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