SOP Psychology PhD help!!

[LilianLi]

I am applying for both social and clinical programs since the two professors I am applying to have similar research topics, but one of the them is in social area and the other is in clinical area (some schools allow you to list 2 programs in the order of preferences, and allow you to apply for professors from both areas). I listed the social program as my 1st preference since it is easier to get into, however I do not want to limit my chances by just mentioning the social program in my SOP. Should I mention both programs in my SOP (which might seem a lack of dedication)? Or should I not mention the specific program at all (which seems pretty odd too)?