At least at the beginning you have to choose between EH and UH. To get into UH you have to apply UH housing first, and put down a $75 housing deposit. But if you want to do EH it is natural that you want to live with EH housing. So at least for the first year, you enroll in EH. After you get in, you then can apply UH if you want, and keep living with EH housing.