tag:blogger.com,1999:blog-5871184605628305545.post4615964410683210543..comments2013-05-25T03:36:33.414-07:00Comments on Puzzled: Color a Cube?Anonymoushttp://www.blogger.com/profile/02364548875097103884noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-5871184605628305545.post-77566913119365205542012-07-22T08:06:48.229-07:002012-07-22T08:06:48.229-07:00Since each face have a unique color, ans would be ...Since each face have a unique color, ans would be 6!/24.<br />Open up the cube. Now, a cube can be opened in 24 ways(i.e) 6 ways to fix the bottom face and 4 ways of then opening it, thereby 24 ways. Each of the face can be colored in 6! ways but many cases would repeat due to opening of the cube.<br />Thus, total possible coloring combinations = 6!/24 = 30Anonymoushttps://www.blogger.com/profile/02364548875097103884noreply@blogger.comtag:blogger.com,1999:blog-5871184605628305545.post-75403725765310937462012-07-17T18:54:56.312-07:002012-07-17T18:54:56.312-07:00is it 6^6/24 . If you write the cycle index of gro...is it 6^6/24 . If you write the cycle index of group of permutation of faces of cube this is what you get.Anonymoushttps://www.blogger.com/profile/09444394133867506611noreply@blogger.com