再找人帮忙翻译！谢绝百度、金山快译！

来源：百度知道 编辑：UC知道 时间：2024/05/18 17:54:21
已知有一个集合S＝｛a1,a2,a3｝，S有两个子集A和B，且A∪B＝S，求A，B的组合情况个数。——改自1993年全国高中数学联赛
首先将此题改编为生活中常见的应用问题，从这个问题继续推广，先将S从包含3个元素推广到n个元素，接着再将子集个数增加到K个，然后再逐步添加限制条件：
ⅰ. A1，A2，…，AK≠ ；
ⅱ.A1∩A2∩…∩Am＝｛a1,a2, …，ar｝；
ⅲ.每个子集两两不相等；
ⅳ.每个子集所含元素个数不超过某个常数；
ⅴ.求每个子集所有情况的元素个数和；
……
通过求出推广中的各种情况，求出一条能迎合各种情况的式子。
问题补充：有没有更专业一点的翻译？因为这篇东西是要给老外看的。
PS.最好不要用网络的翻译软件

A Known Set S＝｛a1,a2,a3｝，have 2 subset A and B, and A∪B＝S,
the question is look for the number of A, B combination.
Edit form the 1993 National High School Math League

First of all edit this question into a applicative question of common daily life. and subsequently extend this question. From 3 element to n element, and subset number become K , and restrict the condition step by step:
ⅰ. A1，A2，…，AK≠ ;
ⅱ.A1∩A2∩…∩Am＝｛a1,a2, …，ar｝;
ⅲ.each of the 2 subset are not equal；
ⅳ.the number of elements of each subset are limited to a certain number；
ⅴ.find the sum for each subset of the elements' number of all cases.
........
through all the condition in the above extension, find a formula that can fit into any cases.

Known to have a collection S = (a1, a2, a3), S there are two subsets of A and B, and A ∪ B = S, for A, B combination of the number of cases. -- Changed since the 1993 National High School Math League

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