Importance of majors in Ivy schools

For a student who appears likely to change majors or who is undecided, choosing a college where the possible majors of interest are not restricted or capacity-limited majors with high admission requirements (i.e. it is easy to change majors, assuming that one takes and passes the prerequisite courses for the desired major) makes sense. I.e. not choosing based on a specific major, but choosing based on the ability to choose any major of possible interest.