imc

Values for $A,B,C,$ and $D$ are to be selected from $\{1,2,3,4,5,6\}$ without replacement (i.e. no two letters have the same value). How many ways are there to make such choices so that the two curves $y=A{x}^2+B$ and $y=C{x}^2+D$ intersect? (The order in which the curves are listed does not matter; for example, the choices $A=3,B=2,C=4,D=1$ is considered the same as the choices $A=4,B=1,C=3,D=2.$)