H: Students are allowed a combination of concentrations ("Concentration" is the term for major at Harvard)
Y: Yes.
P: No. But you can have certificate(s). -- Certificate is like a minor.
S: Yes
M: Yes
Columbia: Of course
Penn: Yes
UChicago: Yes
Duke: Yes
Cornell: Yes
Brown: Students are allowed multiple concentrations
Dartmouth: Yes
Caltech: Yes. Most students complete 2 majors
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At top schools, double major, major+(1-2) minors, major+certficate... are very popular these days.
Princeton is the only one from the above list of 13 schools that does not allow Double Major.