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May added that her government was not seeking to "cherry pick" in the negotiations and that it wanted a trade deal that goes further than that which the EU has with Norway or Canada simply because Britain is negotiating from a different position to those two countries.
"It is not about cherry picking," May told the mass-selling Bild newspaper. "We want to negotiate for a comprehensive free trade deal and security pact. We are in a different starting position than Canada or Norway."
Britain and the EU struck a divorce deal last month that paved the way for talks on future trade ties and boosted hopes of an orderly Brexit.
"We are leaving the EU but not Europe," she said.