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这题目我只想到一个个排,有没有好办法啊?

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楼主
发表于 2008-4-23 22:31:00 | 只看该作者

这题目我只想到一个个排,有没有好办法啊?

A photographer will arrange 6 people of 6 different 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 of him or her.  How many such arrangements of the 6 people are possible?

 

A.     5

B.      6

C.     9

D.     24

E.      36

沙发
发表于 2008-4-23 22:56:00 | 只看该作者
我是这么想的,假设6个人分别1,2,3,4,5,6(数字越大高度越高)
仔细推测,1始终为第一排最左边,6始终是第二排最右边
接下来自剩下4个人,第一排剩两个人,组合C42(打不出,希望能明白)
但是要排除一种情况,就是4,5都被排在第一排,这是不允许的

故6-1=5
板凳
 楼主| 发表于 2008-4-23 22:57:00 | 只看该作者

GREAT!THANKS!

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