Thanks. Maybe I put it wrong since "international" in the UK is reserved for students outside the EU and I am an EU postgraduate student. York gives their guarantee only to the international international students.
Maybe you're right - I thought that if there are 40 000 people studying in York (both York and St Johns) - that is really much for such a small city or a town like you said. Whenever I tried to search the net for student accommodation in York - there appeared such options as 7-, 8-, 9-room houses with one or two bathrooms.
Can you tell me some more about the Psychology studies at York? What is the atmosphere like, are the tutors helpful?