Lots of historically white sororities are as integrated as the rest of society today - none of them have rules about whites-only, that's for sure. That said, it depends from region to region and campus to campus. There was a big news story recently about an African American rushee who did not get a bid at from any chapter at a Southern university. This university, in fact, had NEVER had a non-white sorority member!
But this is the exception and not the rule. Most places you'll find welcome any ethnicity.
That said, whether you want to join a historically white sorority, a sorority created for a specific ethnic group, or one designed to be multicultural, is up to you and what your university offers. The NPC or "white" sororities tend to be bigger, financially stronger, and have houses. The NPHC or "black" sororities offer a rich heritage and the strongest philanthropy. The newer multicultural and ethnic sororities offer a chance to be a part of something new and vibrant. See what your campus has to offer!
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