The puzzle to be solved is similar to a jigsaw but using n regular hexagons of equal size for pieces. The pieces are to be placed within a defined perimeter to create a picture.
Q: If we let the number of pieces be n, and the number of possible different placements be P, determine a mathematical expression for P in terms of n using logical arguments related to selection and rotation.
HINT: When n=4, P=31104
The answer I have come up with is P(n) = (n!)(6^n)
I used n! due to the puzzle being a combination problem (the selection). I used 6^n based upon the possible rotations of each hexagon.
Is this correct?
Thank you! :D