Question 1
The faces of two identical regular tetrahedra are colored red, white, green and blue. The colors are chosen randomly, but the four faces of each tetrahedron must have different colors. What is the probability that after coloring the two tetrahedra are indistinguishable?
(A) $\frac1{4!}$
(B) $\frac2{4!}$
(C) $\frac14$
(D) $\frac12$
(E) 1
(A) $\frac1{4!}$
(B) $\frac2{4!}$
(C) $\frac14$
(D) $\frac12$
(E) 1