If M accompanies L and T, then the following hypothetical results:

Since K is not with M, then V is with O. J and K must be split up, leaving S to go with P. Answer choice (E) must be true. Notice that the two children not yet assigned are J and K and that each of the incorrect answers tries to place one or the other of them.
Hope that helps, let us know if you need any further help on this one!
#officialexplanation