The new Prime Minister appointed Mr Kwarteng as Chancellor and Ms Coffey as Deputy Prime Minister and Health Secretary, as she made James Cleverly her successor as Foreign Secretary on Tuesday.
Former attorney general Suella Braverman was appointed Home Secretary, replacing Priti Patel after she pre-emptively resigned.
The appointments mean that for the first time in history none of the great offices of state are held by white men.
First Ms Truss despatched former deputy PM Dominic Raab and cabinet colleagues Grant Shapps, George Eustice and Steve Barclay to the backbenches after they supported her rival in the Tory leadership contest.
Here are the appointments so far
10. Chloe Smith
Britain's newly appointed Work and Pensions Secretary Chloe Smith Photo: ISABEL INFANTES
11. Penny Mordaunt
New leader of the House of Commons Penny Mordaunt leaves Downing Street Photo: Rob Pinney
12. Nadhim Zahawi
Newly installed Chancellor of the Duchy of Lancaster Nadhim Zahawi Photo: Kirsty O'Connor