Is there enough accommodation for every applicant?

Our Answer: 

Unfortunately, the accommodation at the Intercollegiate Halls is limited and not every student is going to be successful. Your college might be able to offer you alternative accommodation or help you in finding one. If you applied for the Intercollegiate Halls and you have been unsuccessful you can still apply on the waiting list that opens in September.

Private Housing website has a lot of information about alternative housing options in London.