Question

11个数字选择6个出来做组合，怎样把每种组合出来的6个数字都列明出来？

Answer 1

分类: 教育/科学 >> 学习帮助
问题描述:

从1、2、3、4、5、6、7、8、9、10、11这11个数字任意选择6个数字出来组合成为一组，比如1、2、3、4、5、6或者7、8、9、10、11等等，一共有很多种情况，情况的种数我没算错误的话应该是（11×10×9×8×7）/（6×5×4×3×2）/（5×4×3×2）种，请问怎样才可以把每组6个数字象1、2、3、4、5、6或者7、8、9、10、11这样列明出来，我知道人工理论上可以完成这个工作，但是太慢而且肯定容易出现疏漏或者重复的错误，请教怎样通过什么电脑程序啊或者什么软件等等方法把这些各种情况都列明出来？

解析:

只要会编程，随便使用哪一种语言，使用循环就可以了

总数量是：11！/（6！×5！）＝11×10×9×8×7/（5×4×3×2）＝462

这些组合是：

1,2,3,4,5,6，1,2,3,4,5,7，1,2,3,4,5,8，1,2,3,4,5,9，1,2,3,4,5,10

1,2,3,4,5,11，1,2,3,4,6,7，1,2,3,4,6,8，1,2,3,4,6,9，1,2,3,4,6,10

1,2,3,4,6,11，1,2,3,4,7,8，1,2,3,4,7,9，1,2,3,4,7,10，1,2,3,4,7,11

1,2,3,4,8,9，1,2,3,4,8,10，1,2,3,4,8,11，1,2,3,4,9,10，1,2,3,4,9,11

1,2,3,4,10,11，1,2,3,5,6,7，1,2,3,5,6,8，1,2,3,5,6,9，1,2,3,5,6,10

1,2,3,5,6,11，1,2,3,5,7,8，1,2,3,5,7,9，1,2,3,5,7,10，1,2,3,5,7,11

1,2,3,5,8,9，1,2,3,5,8,10，1,2,3,5,8,11，1,2,3,5,9,10，1,2,3,5,9,11

1,2,3,5,10,11，1,2,3,6,7,8，1,2,3,6,7,9，1,2,3,6,7,10，1,2,3,6,7,11

1,2,3,6,8,9，1,2,3,6,8,10，1,2,3,6,8,11，1,2,3,6,9,10，1,2,3,6,9,11

1,2,3,6,10,11，1,2,3,7,8,9，1,2,3,7,8,10，1,2,3,7,8,11，1,2,3,7,9,10

1,2,3,7,9,11，1,2,3,7,10,11，1,2,3,8,9,10，1,2,3,8,9,11，1,2,3,8,10,11

1,2,3,9,10,11，1,2,4,5,6,7，1,2,4,5,6,8，1,2,4,5,6,9，1,2,4,5,6,10

1,2,4,5,6,11，1,2,4,5,7,8，1,2,4,5,7,9，1,2,4,5,7,10，1,2,4,5,7,11

1,2,4,5,8,9，1,2,4,5,8,10，1,2,4,5,8,11，1,2,4,5,9,10，1,2,4,5,9,11

1,2,4,5,10,11，1,2,4,6,7,8，1,2,4,6,7,9，1,2,4,6,7,10，1,2,4,6,7,11

1,2,4,6,8,9，1,2,4,6,8,10，1,2,4,6,8,11，1,2,4,6,9,10，1,2,4,6,9,11

1,2,4,6,10,11，1,2,4,7,8,9，1,2,4,7,8,10，1,2,4,7,8,11，1,2,4,7,9,10

1,2,4,7,9,11，1,2,4,7,10,11，1,2,4,8,9,10，1,2,4,8,9,11，1,2,4,8,10,11

1,2,4,9,10,11，1,2,5,6,7,8，1,2,5,6,7,9，1,2,5,6,7,10，1,2,5,6,7,11

1,2,5,6,8,9，1,2,5,6,8,10，1,2,5,6,8,11，1,2,5,6,9,10，1,2,5,6,9,11

1,2,5,6,10,11，1,2,5,7,8,9，1,2,5,7,8,10，1,2,5,7,8,11，1,2,5,7,9,10

1,2,5,7,9,11，1,2,5,7,10,11，1,2,5,8,9,10，1,2,5,8,9,11，1,2,5,8,10,11

1,2,5,9,10,11，1,2,6,7,8,9，1,2,6,7,8,10，1,2,6,7,8,11，1,2,6,7,9,10

1,2,6,7,9,11，1,2,6,7,10,11，1,2,6,8,9,10，1,2,6,8,9,11，1,2,6,8,10,11

1,2,6,9,10,11，1,2,7,8,9,10，1,2,7,8,9,11，1,2,7,8,10,11，1,2,7,9,10,11

1,2,8,9,10,11，1,3,4,5,6,7，1,3,4,5,6,8，1,3,4,5,6,9，1,3,4,5,6,10

1,3,4,5,6,11，1,3,4,5,7,8，1,3,4,5,7,9，1,3,4,5,7,10，1,3,4,5,7,11

1,3,4,5,8,9，1,3,4,5,8,10，1,3,4,5,8,11，1,3,4,5,9,10，1,3,4,5,9,11

1,3,4,5,10,11，1,3,4,6,7,8，1,3,4,6,7,9，1,3,4,6,7,10，1,3,4,6,7,11

1,3,4,6,8,9，1,3,4,6,8,10，1,3,4,6,8,11，1,3,4,6,9,10，1,3,4,6,9,11

1,3,4,6,10,11，1,3,4,7,8,9，1,3,4,7,8,10，1,3,4,7,8,11，1,3,4,7,9,10

1,3,4,7,9,11，1,3,4,7,10,11，1,3,4,8,9,10，1,3,4,8,9,11，1,3,4,8,10,11

1,3,4,9,10,11，1,3,5,6,7,8，1,3,5,6,7,9，1,3,5,6,7,10，1,3,5,6,7,11

1,3,5,6,8,9，1,3,5,6,8,10，1,3,5,6,8,11，1,3,5,6,9,10，1,3,5,6,9,11

1,3,5,6,10,11，1,3,5,7,8,9，1,3,5,7,8,10，1,3,5,7,8,11，1,3,5,7,9,10

1,3,5,7,9,11，1,3,5,7,10,11，1,3,5,8,9,10，1,3,5,8,9,11，1,3,5,8,10,11

1,3,5,9,10,11，1,3,6,7,8,9，1,3,6,7,8,10，1,3,6,7,8,11，1,3,6,7,9,10

1,3,6,7,9,11，1,3,6,7,10,11，1,3,6,8,9,10，1,3,6,8,9,11，1,3,6,8,10,11

1,3,6,9,10,11，1,3,7,8,9,10，1,3,7,8,9,11，1,3,7,8,10,11，1,3,7,9,10,11

1,3,8,9,10,11，1,4,5,6,7,8，1,4,5,6,7,9，1,4,5,6,7,10，1,4,5,6,7,11

1,4,5,6,8,9，1,4,5,6,8,10，1,4,5,6,8,11，1,4,5,6,9,10，1,4,5,6,9,11

1,4,5,6,10,11，1,4,5,7,8,9，1,4,5,7,8,10，1,4,5,7,8,11，1,4,5,7,9,10

1,4,5,7,9,11，1,4,5,7,10,11，1,4,5,8,9,10，1,4,5,8,9,11，1,4,5,8,10,11

1,4,5,9,10,11，1,4,6,7,8,9，1,4,6,7,8,10，1,4,6,7,8,11，1,4,6,7,9,10

1,4,6,7,9,11，1,4,6,7,10,11，1,4,6,8,9,10，1,4,6,8,9,11，1,4,6,8,10,11

1,4,6,9,10,11，1,4,7,8,9,10，1,4,7,8,9,11，1,4,7,8,10,11，1,4,7,9,10,11

1,4,8,9,10,11，1,5,6,7,8,9，1,5,6,7,8,10，1,5,6,7,8,11，1,5,6,7,9,10

1,5,6,7,9,11，1,5,6,7,10,11，1,5,6,8,9,10，1,5,6,8,9,11，1,5,6,8,10,11

1,5,6,9,10,11，1,5,7,8,9,10，1,5,7,8,9,11，1,5,7,8,10,11，1,5,7,9,10,11

1,5,8,9,10,11，1,6,7,8,9,10，1,6,7,8,9,11，1,6,7,8,10,11，1,6,7,9,10,11

1,6,8,9,10,11，1,7,8,9,10,11，2,3,4,5,6,7，2,3,4,5,6,8，2,3,4,5,6,9

2,3,4,5,6,10，2,3,4,5,6,11，2,3,4,5,7,8，2,3,4,5,7,9，2,3,4,5,7,10

2,3,4,5,7,11，2,3,4,5,8,9，2,3,4,5,8,10，2,3,4,5,8,11，2,3,4,5,9,10

2,3,4,5,9,11，2,3,4,5,10,11，2,3,4,6,7,8，2,3,4,6,7,9，2,3,4,6,7,10

2,3,4,6,7,11，2,3,4,6,8,9，2,3,4,6,8,10，2,3,4,6,8,11，2,3,4,6,9,10

2,3,4,6,9,11，2,3,4,6,10,11，2,3,4,7,8,9，2,3,4,7,8,10，2,3,4,7,8,11

2,3,4,7,9,10，2,3,4,7,9,11，2,3,4,7,10,11，2,3,4,8,9,10，2,3,4,8,9,11

2,3,4,8,10,11，2,3,4,9,10,11，2,3,5,6,7,8，2,3,5,6,7,9，2,3,5,6,7,10

2,3,5,6,7,11，2,3,5,6,8,9，2,3,5,6,8,10，2,3,5,6,8,11，2,3,5,6,9,10

2,3,5,6,9,11，2,3,5,6,10,11，2,3,5,7,8,9，2,3,5,7,8,10，2,3,5,7,8,11

2,3,5,7,9,10，2,3,5,7,9,11，2,3,5,7,10,11，2,3,5,8,9,10，2,3,5,8,9,11

2,3,5,8,10,11，2,3,5,9,10,11，2,3,6,7,8,9，2,3,6,7,8,10，2,3,6,7,8,11

2,3,6,7,9,10，2,3,6,7,9,11，2,3,6,7,10,11，2,3,6,8,9,10，2,3,6,8,9,11

2,3,6,8,10,11，2,3,6,9,10,11，2,3,7,8,9,10，2,3,7,8,9,11，2,3,7,8,10,11

2,3,7,9,10,11，2,3,8,9,10,11，2,4,5,6,7,8，2,4,5,6,7,9，2,4,5,6,7,10

2,4,5,6,7,11，2,4,5,6,8,9，2,4,5,6,8,10，2,4,5,6,8,11，2,4,5,6,9,10

2,4,5,6,9,11，2,4,5,6,10,11，2,4,5,7,8,9，2,4,5,7,8,10，2,4,5,7,8,11

2,4,5,7,9,10，2,4,5,7,9,11，2,4,5,7,10,11，2,4,5,8,9,10，2,4,5,8,9,11

2,4,5,8,10,11，2,4,5,9,10,11，2,4,6,7,8,9，2,4,6,7,8,10，2,4,6,7,8,11

2,4,6,7,9,10，2,4,6,7,9,11，2,4,6,7,10,11，2,4,6,8,9,10，2,4,6,8,9,11

2,4,6,8,10,11，2,4,6,9,10,11，2,4,7,8,9,10，2,4,7,8,9,11，2,4,7,8,10,11

2,4,7,9,10,11，2,4,8,9,10,11，2,5,6,7,8,9，2,5,6,7,8,10，2,5,6,7,8,11

2,5,6,7,9,10，2,5,6,7,9,11，2,5,6,7,10,11，2,5,6,8,9,10，2,5,6,8,9,11

2,5,6,8,10,11，2,5,6,9,10,11，2,5,7,8,9,10，2,5,7,8,9,11，2,5,7,8,10,11

2,5,7,9,10,11，2,5,8,9,10,11，2,6,7,8,9,10，2,6,7,8,9,11，2,6,7,8,10,11

2,6,7,9,10,11，2,6,8,9,10,11，2,7,8,9,10,11，3,4,5,6,7,8，3,4,5,6,7,9

3,4,5,6,7,10，3,4,5,6,7,11，3,4,5,6,8,9，3,4,5,6,8,10，3,4,5,6,8,11

3,4,5,6,9,10，3,4,5,6,9,11，3,4,5,6,10,11，3,4,5,7,8,9，3,4,5,7,8,10

3,4,5,7,8,11，3,4,5,7,9,10，3,4,5,7,9,11，3,4,5,7,10,11，3,4,5,8,9,10

3,4,5,8,9,11，3,4,5,8,10,11，3,4,5,9,10,11，3,4,6,7,8,9，3,4,6,7,8,10

3,4,6,7,8,11，3,4,6,7,9,10，3,4,6,7,9,11，3,4,6,7,10,11，3,4,6,8,9,10

3,4,6,8,9,11，3,4,6,8,10,11，3,4,6,9,10,11，3,4,7,8,9,10，3,4,7,8,9,11

3,4,7,8,10,11，3,4,7,9,10,11，3,4,8,9,10,11，3,5,6,7,8,9，3,5,6,7,8,10

3,5,6,7,8,11，3,5,6,7,9,10，3,5,6,7,9,11，3,5,6,7,10,11，3,5,6,8,9,10

3,5,6,8,9,11，3,5,6,8,10,11，3,5,6,9,10,11，3,5,7,8,9,10，3,5,7,8,9,11

3,5,7,8,10,11，3,5,7,9,10,11，3,5,8,9,10,11，3,6,7,8,9,10，3,6,7,8,9,11

3,6,7,8,10,11，3,6,7,9,10,11，3,6,8,9,10,11，3,7,8,9,10,11，4,5,6,7,8,9

4,5,6,7,8,10，4,5,6,7,8,11，4,5,6,7,9,10，4,5,6,7,9,11，4,5,6,7,10,11

4,5,6,8,9,10，4,5,6,8,9,11，4,5,6,8,10,11，4,5,6,9,10,11，4,5,7,8,9,10

4,5,7,8,9,11，4,5,7,8,10,11，4,5,7,9,10,11，4,5,8,9,10,11，4,6,7,8,9,10

4,6,7,8,9,11，4,6,7,8,10,11，4,6,7,9,10,11，4,6,8,9,10,11，4,7,8,9,10,11

5,6,7,8,9,10，5,6,7,8,9,11，5,6,7,8,10,11，5,6,7,9,10,11，5,6,8,9,10,11

5,7,8,9,10,11，6,7,8,9,10,11