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AMC8 2004

AMC8 2004 · Q4

AMC8 2004 · Q4. It mainly tests Combinations.

Lance, Sally, Joy and Fred are chosen for the team. In how many ways can the three starters be chosen?
Lance、Sally、Joy和Fred被选入球队。有多少种方法可以选择三个首发?
(A) 2 2
(B) 4 4
(C) 6 6
(D) 8 8
(E) 10 10
Answer
Correct choice: (B)
正确答案:(B)
Solution
(B) When three players start, one is the alternate. Because any of the four players might be the alternate, there are four ways to select a starting team: Lance-Sally-Joy, Lance-Sally-Fred, Lance-Joy-Fred and Sally-Joy-Fred.
(B)当三名球员首发时,其中一人是替补。由于四名球员中的任何一位都可能是替补,因此有四种方式选择首发阵容:Lance-Sally-Joy、Lance-Sally-Fred、Lance-Joy-Fred 以及 Sally-Joy-Fred。
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