Two Tokens on a Chessboard
Two identical tokens are placed on two different squares of an 8 × 8 board. Two placements are considered the same if one can be carried to the other by a symmetry of the square board (any of its 4 rotations or 4 reflections). How many different placements are there? Give an integer.
Related problems & prerequisites
Worth solving first
- Two-Color Necklaces 5.0/10
Source: Standard application of Burnside's lemma; no traceable original source. Statement written for AxiomIQ.