RRR is a non-symmetric relation on AAA if there exist x,y∈Ax,y \in Ax,y∈A such that (x,y)∈R(x,y) \in R(x,y)∈R but (y,x)∉R(y,x) \notin R(y,x)∈/R. If ∣A∣=m|A|=m∣A∣=m, how many non-symmetric relations on AAA are there?
