组合问题 by 乱弹

fzy · 发表于 2005-2-24 22:22:05

n!/1个1，n!/2个2，。。。，n!/n个n
这些数能否分成n!组，使每组的和是n
证明或反证

This problem was first posted at WXC by 乱弹 several months ago. It was ignored then and later caused some problems, as stated by himself recently, about "谁是中文网第一数学论坛". It reappeared there three days ago, but still no answer as of now.

乱弹 · 发表于 2005-2-25 20:58:32

out easily.

I wrote the problem to meet the CMO problem and did not expect it to hae a contact with group theory.

As for the problems you mentioned in the other post, I think some person was too sensitive. Whoever solved the problem should get excited. So there should have been no problems.

You might generalize your solution to solve a generalized problem. I have not had deep thought about it though.

fzy · 发表于 2005-2-25 18:49:17

Some hints came out at WXC, but still no solution yet.

fzy · 发表于 2005-2-24 23:43:20

That kind of solution does not come very often. And one has to say something after having one. That caused all the problems. I have become much more careful after that.

乱弹 · 发表于 2005-2-24 23:06:39

That is a beautiful solution. I am glad that somebody still remembers this problem and reposted it at WXC.

Hope people from here, QQSH and WXC can find some general rules for this kind of problem.

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组合问题 by 乱弹

哈哈. With the hint, one solution can come

There's still time

回复：Hehe.. I know you've solved it. [@};-][@};-]

Hehe.. I know you've solved it. [@};-][@};-]