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一道真题,排列组合,我没法建立数学模型,高人指点!!

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楼主
发表于 2004-5-19 17:11:00 | 只看该作者

一道真题,排列组合,我没法建立数学模型,高人指点!!

A photographer will arrange 6 people of 6 differenct heights for photograph by placing them in two rows of three so that each person  in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front ot him or her. How many such arrangements of the 6 people are possible?


A. 5
B. 6
C. 9
D. 24
E. 36



答案是A

沙发
发表于 2004-5-19 17:32:00 | 只看该作者
这题不是排列组合,要分情况讨论,画个图最好,其实最高最矮的人的位置是固定的,所以只要讨论剩下4个人即可。费费宝典有这道题,好像还有图解,比干说清楚。
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