The Duke of Cambridge is expected to live in Cambridge part of the time during his studies and will have accommodation within the city.
But he will continue to carry out a number of royal engagements over the coming months.
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With dozens of stores making losses and 11,000 jobs at risk, BHS's main task is to return as much money as possible to creditors.
PM spokesman's comments come following reports that the EU is secretly drawing up plans for greater military cooperation across the EU.
The Labour politicians put their alleged differences aside to jointly highlight how remaining in the EU could help fight climate change.