No man can run a country alone, not even Donald Trump. That fact has been obscured by the outsize personality of the real estate tycoon turned political bulldozer, and his craving for the limelight. But if he wins Tuesday’s presidential election he will have to form a cabinet – and one that measures up to Trump’s promise to turn Washington on its head. The question is, who?

The man himself has given the odd clue, but given Trump’s short attention span and fondness for off-the-cuff replies, it’s hard to judge how much thought he has given to the shape of a future administration. But a couple of things seem clear. The priority will be on domestic, above all economic, affairs. And his cabinet could be one of the most big business-flavoured in US history.

Take the Treasury. The most widely tipped names are the investor Carl Icahn (even though Icahn has turned 80 and has let it be known he’s not thrilled at the prospect) and the former CEO of General Electric, Jack Welch. Another possibility, according to reports, is Trump’s chief fundraiser Steve Mnuchin, once of Goldman Sachs.

However that background on Wall Street – the insider America that so many of Trump’s grass roots supporters object to – could be a problem. Fundraisers and big financial allies of winning candidates have often gone to the Commerce Department, and that could be where Mnuchin ends up in a Trump administration.

Of the other domestic agencies, the oil and gas tycoon Harold Hamm is on most lists of possible Energy Secretaries, a choice that would be consistent with Trump’s promise to “unleash” America’s domestic oil industry. Sarah Palin, the 2008 Republican vice presidential candidate and early Trump supporter, is also being mentioned either for the Energy Department or the Department of the Interior. Another option, reportedly, is Trump’s son, Donald Jr.

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But putting a CEO in charge of a big economic department has obvious pitfalls, above all possible conflicts of interest that could bedevil confirmation hearings, especially if Democrats were to regain control of the Senate. Indeed Trump himself would almost certainly face major conflict of interest issues if he wins next week.

Widely tipped as Health Secretary is Ben Carson, the retired neurosurgeon and 2016 republican presidential candidate who switched to Trump early and is a fierce opponent of Obamacare which Trump has vowed to repeal.

On the law enforcement and domestic security fronts, things are more straightforward, but only a little. Rudolph Giuliani, former mayor of New York and a key Trump surrogate, would be a natural fit for the Homeland Security Department. Joe Arpaio, who calls himself “America’s Toughest Sheriff’ has also been mentioned. But mounting legal problems, not to mention the fact he’s 84, surely rule Arpaio out.

The job of Attorney General though is up in the air. It had long appeared destined for Governor Chris Christie of New Jersey, who narrowly missed being Trump’s vice-presidential pick. But Christie is ever more deeply entangled in New Jersey's “Bridgegate” scandal. An alternative might be Alabama’s Jeff Sessions, the first Senator to endorse Trump back in February, and a former federal prosecutor and state attorney general.

Donald Trump's most controversial quotes Show all 14 1 /14 Donald Trump's most controversial quotes Donald Trump's most controversial quotes On Isis: "Some of the candidates, they went in and didn’t know the air conditioner didn’t work and sweated like dogs, and they didn’t know the room was too big because they didn’t have anybody there. How are they going to beat ISIS?" Getty Donald Trump's most controversial quotes On immigration: "I will build a great wall — and nobody builds walls better than me, believe me —and I’ll build them very inexpensively. I will build a great, great wall on our southern border, and I will make Mexico pay for that wall. Mark my words." Reuters Donald Trump's most controversial quotes On Free Trade: "Free trade is terrible. Free trade can be wonderful if you have smart people. But we have stupid people." PAUL J. RICHARDS | AFP | Getty Images Donald Trump's most controversial quotes On Mexicans: "When Mexico sends its people, they’re not sending their best. They’re sending people that have lots of problems. They’re bringing drugs. They’re bringing crime. They’re rapists." Getty Donald Trump's most controversial quotes On China: "I just sold an apartment for $15 million to somebody from China. Am I supposed to dislike them?... I love China. The biggest bank in the world is from China. You know where their United States headquarters is located? In this building, in Trump Tower." Getty Images Donald Trump's most controversial quotes On work: "If you're interested in 'balancing' work and pleasure, stop trying to balance them. Instead make your work more pleasurable." AP Donald Trump's most controversial quotes On success: "What separates the winners from the losers is how a person reacts to each new twist of fate." Donald Trump's most controversial quotes On life: "Everything in life is luck." AFP Donald Trump's most controversial quotes On ambition: "You have to think anyway, so why not think big?" Getty Images Donald Trump's most controversial quotes On his opponents: "Bush is totally in favour of Common Core. I don't see how he can possibly get the nomination. He's weak on immigration. He's in favour of Common Core. How the hell can you vote for this guy? You just can't do it." Reuters Donald Trump's most controversial quotes On Obamacare: "You have to be hit by a tractor, literally, a tractor, to use it, because the deductibles are so high. It's virtually useless. And remember the $5 billion web site?... I have so many web sites, I have them all over the place. I hire people, they do a web site. It costs me $3." Getty Images Donald Trump's most controversial quotes On Barack Obama: "Obama is going to be out playing golf. He might be on one of my courses. I would invite him. I have the best courses in the world. I have one right next to the White House." PA Donald Trump's most controversial quotes On himself: "Love him or hate him, Trump is a man who is certain about what he wants and sets out to get it, no holds barred. Women find his power almost as much of a turn-on as his money." Getty Images Donald Trump's most controversial quotes On America: "The American Dream is dead. But if I get elected president I will bring it back bigger and better and stronger than ever before and we will make America great again." GETTY

Sessions, who has been an informal foreign policy adviser to Trump, could also feature in the national security team. He is frequently mentioned as a possible Secretary of State, along with John Bolton, the abrasive, ultra-conservative former US ambassador to the United Nations and senior State official under George W. Bush. Trump himself once said he was “seriously thinking” about choosing Bolton to the job.

The other top post to be filled is the Pentagon. The obvious candidate is retired general Michael Flynn, ex-head of the Defence Intelligence Agency, as outspoken and hardline as Bolton, and who has been Trump’s chief defence policy adviser during the campaign.