AMC 10A 2021 Spring Problem 15

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.)

Answer Choices
A. 30
B. 60
C. 90
D. 180
E. 360