Thanks to all of you for your replies. I guess I am a bit confused about how all of this would work because I do know if students who have applied to transfer to both the UCs and Ivy League schools who did not seem to run into this issue.
Basically, in order to apply to transfer to both, it sounds like a student would have to have exactly 60 units of credit – no more, no less – in order to have the minimum number the UCs would require without going over the maximum amount for some of the Ivy League schools. It seems that it would be unlikely a student would be able to work it out to have exactly 60 units.