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求教几题

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楼主
发表于 2009-1-20 21:40:00 | 只看该作者

求教几题

1. If 1050 – 74 is written as an integer in base 10 notation, what is the sum of the digits in that integer?

 

A.     424

B.     433

C.     440

D.     449

E.      467

                        Answer:  C

 

 

 

2.A certain club has 20 members.  What is the ratio of the member of 5-member committees that can be formed from the members of the club to the number of 4-member committees that can be formed from the members of the club?

 

A.     16 to 1

B.     15 to 1

C.     16 to 5

D.     15 to 6

E.      5 to 4

Answer:
                                    
C

2.A certain club has 20 members.  What is the ratio of the member of 5-member committees that can be formed from the members of the club to the number of 4-member committees that can be formed from the members of the club?

 

A.     16 to 1

B.     15 to 1

C.     16 to 5

D.     15 to 6

E.      5 to 4

Answer:
                    
C

 

 

 

  

           

 

 

 

  

 

 

 

  

 

 

 

  

 

 

 

  

 
                                                                

 

 

 

  

 这两道题到底是怎么算的呢,看着答案还是算不出来,希望能帮我解答一下,谢谢!

 

 

 

 

 

 

 

 


 

沙发
发表于 2009-1-21 13:36:00 | 只看该作者
第二题,(20里随机取5)/(20里随机取4)=((20!-15!)/5!)/((20!-16!)/4!)=16/5
板凳
发表于 2009-1-21 15:29:00 | 只看该作者

第一题:

10^50 - 74 = 99999999999.....26

这些digit的和是 9*48+2+6=440

这道题的关键是理解:written as an integer in base 10 notation

不知道理解的对否。

第二题:

题干有点儿绕: C(5,20) / C(4, 20) = 16/5


[此贴子已经被作者于2009-1-21 15:31:42编辑过]
地板
 楼主| 发表于 2009-1-21 22:49:00 | 只看该作者
哦,原来是我把题目理解错了,多谢楼上两位了!
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