1985 AMC 12 第 11 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。
11.
单词 CONTEST 的字母有多少种可区分的重新排列，使两个元音都排在最前面？（例如，OETCNST 是一种这样的排列，而 OTETSNC 不是。）
How many distinguishable rearrangements of the letters in CONTEST have both the vowels first? (For instance, OETCNST is one such arrangement, but OTETSNC is not.)
小提示：
将两个元音排列在前两个位置
Order the two vowels in the first two positions
大提示：
排列剩余五个字母，并注意重复的
Permute the remaining five letters while accounting for the repeated
解答：
元音 排在最前面共有 种顺序。剩余字母 有 种可区分排列，因为两个 相同。总数为 。
所以正确答案是 B。
The vowels can be ordered first in ways. The remaining letters can be arranged in distinguishable ways because the two ’s agree. The total is
Thus the correct answer is B.
其他年份的第 11 题
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