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标题: gwd9-2,求助,不懂啊 [打印本页]

作者: qwrersaa    时间: 2005-2-10 10:14     标题: gwd9-2,求助,不懂啊

A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and

each participant is to receive a different code?

A. 4

B. 5

C. 6

D. 7

E. 8

我看了讨论,但是看不懂啊,请大牛解释一下啊。
作者: mikejia    时间: 2005-2-10 23:54

A B C D E.....中选1个或2个排12个不同的号码。最少需要几个字母

如果用4个字母,P(4,2)/2+p(4,1)=10不够

5个字母。P(5,2)/2+p(5,1)=10+5=15.

可以验证一下: 4个字母时:A. B . C .D. AB. AC. AD. BC. BD. CD

5个字母:A. B. C . D. E. AB. AC AD AE BC BD BE CD CE DE (记住要按字母前后顺序,和只选1和2个)


作者: sammen    时间: 2005-2-13 20:58

x+x(x-1)/2>12,求出是要大于5。之所以要除以2是in alphabetical order,呵呵,我自己做的时候没注意,汗啊。






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