明天交功課

2007-03-26 6:44 am
有200個人參加收發電報的培訓,每兩人結為一對互發互收共有多少種不同的結對方式?
(求簡單列式及答案)(最簡的)

回答 (3)

2007-03-26 11:22 am
✔ 最佳答案
Do you mean how many methods can 2 different people pair up, or how many methods the 200 people can be arranged?

If the question is asking how ma ny methods 2 people can pair up, then it's just choosing 2 from 200 people = 200C2 = 200*199 / 2 = 19900

if it's how many methods 200 people can be arranged, then the answer is very big:
You can view it this way:
You choose 2 from 200, then choose 2 from remaining 198... (and it goes on and on) then 2 from remanining 2.
Moreover, each groups you choose are non-distinguishable, so you should divide it by 100!

Hence number of methods
= (200C2 * 198C2 * ...*2C2) / 100!
= 200! / (50! * 2^100 )
參考: my knowledge in combinatorics
2007-03-26 6:57 am
我覺得會咁計-.-但唔知岩唔岩
(1*199)*200
=39800
2007-03-26 6:52 am
200 X 199 X 198 X 197.... X 3 X 2 X1=78865786736479050355236321393219 X 1之後 三十四個0

2007-03-25 22:54:59 補充:
Sry,是78865786736479050355236321393219 X 1之後 三百七十四個0

2007-03-25 23:00:02 補充:
SRY,全部錯誤,應是200 X 199/2

2007-03-25 23:00:59 補充:
=19900
參考: me


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