In how many ways can seven beads of distinct colors be put on the hexagonal grid shown, if reflections and rotations of an arrangement are considered equivalent?
i guess i will answer this myself... there are 7 choices for the inner dot, and you can draw a circle around the other six, so the number of ways for those is 6!/6 for rotations. so it is 7*120=840, but there are reflections, so it is 840/2=420.
that was what the answer was though... 420
I answered this one a short time ago.
7*5! = 840 that takes care of rotation
There are 6 axes of symmetry so I think that should be divided by 6
7*5!/6 = 140
420 is definitely NOT correct.
140 might be correct.
i use a website called art of problem solving, in their resource called alcumus they said it was 420... im really confused i dont know