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David Mundell has kept his job as Scotland secretary.
He is the Conservatives' only MP north of the border.
Boris Johnson has promised "more Britain abroad" and a "greater global profile" following Brexit, in his first remarks since taking up his new role as foreign secretary.
He told reporters that although Britain had voted to leave the European Union it could play an even greater role in Europe, a view he said was shared by the United States.
"There's a massive difference between leaving the EU and our relations with Europe which if anything I think are going to be intensified," he said.
Alun Cairns remains Secretary of State for Wales, Downing Street said.
Karen Bradley has been appointed Secretary of State for Culture, Media and Sport, Downing Street said.
Priti Patel has been appointed International Development Secretary, Downing Street announced
Greg Clark has been appointed Secretary of State for Business, Energy and Industrial Strategy, a new position.
Mr Clark was previously Communities Secretary, a job which has now been given to Sajid Javid.
James Brokenshire has been appointed Northern Ireland Secretary, Downing Street said.
Sajid Javid has been appointed Communities Secretary, Downing Street said.
Andrea Leadsom has been appointed to the Cabinet as Secretary of State for Environment, Food and Rural Affairs.
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