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?

来源:百度知道 编辑:UC知道 时间:2024/06/08 10:49:19
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?

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,