AM vs IB recruiting at banks?

What do you think is harder to break into for a summer internship between Asset Management and Investment Banking at banks such as JPM, GS, Lazard, etc, particularly for someone with a non-finance background?

I figure that there may be more spots for IB and they may be a bit more open to a non-finance background, however I'm also guessing that there would be less people applying to AM internships at these banks. I could be mistaken so any insight is greatly appreciated.

Cheers