Nearly all the others are members of Letta's Democratic Party or people close to it.
She rejected Letta's assertion that a return for the 76-year-old Berlusconi would destabilize Italy's economy.
Mr Letta's appointment follows the swearing-in on Monday of President Napolitano, who berated his country's feuding politicians.
On Saturday, Letta, a center-left politician, accepted a mandate to form a government from President Giorgio Napolitano.
The Italian Prime Minister, Enrico Letta, for one, has spoken of "the incredible hypocrisy" on a European level.
Only this morning the new Italian Prime Minister Enrico Letta was in Brussels.
Soon after being appointed, Mr Letta met other eurozone leaders to convey growing public unrest over austerity measures in Italy.
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Mr Letta's candidacy for prime minister came about after the PD leader, Pier Luigi Bersani, announced his resignation last week.
If the parties can strike a deal Monti would be offered "an important role" to be discussed "Monday afternoon, " Letta told CNN.
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Italy will have to find the billions of euros of forgone revenues for tax increases Mr. Letta says he won't now implement.
The new Italian Prime Minister, Enrico Letta, could not have been clearer.
Before taking office, Mr Letta vowed to make job creation his priority, but critics are unhappy that he has focused on property tax reform.
In return they want Silvio Berlusconi to go and a "technical government" headed by a "European big figure", deputy leader Enrico Letta tells me tonight.
Mr Letta expressed "sober satisfaction over the team we put together".
But many of Italy's current generation of leaders, including in the new grand coalition government of Prime Minister Enrico Letta, were trained in the center-right party.
Letta said last week that the most important priority is tackling the country's 11.6% unemployment rate, which has pushed many young Italians to leave the country.
Letta, a center-left politician, has 18 ministers -- two of whom are members of the center-right People of Freedom Party led by three-time Prime Minister Silvio Berlusconi.
Letta said this week that the most important step would be to tackle the country's 11.6% unemployment rate, which has pushed many young Italians to leave the country.
Mr Letta, 46, is considered a moderate within the PD and is linked to Mr Berlusconi through his uncle, Gianni Letta, who is one of Mr Berlusconi's closest aides.
Enrico Letta, Mr Bersani's deputy, said the centre-left bloc should win the vote in the lower house and would have the responsibility for trying to form a new government.
Letta's center-left forces, while winning a majority in the Chamber of Deputies, failed to control the Senate, forcing the Democratic Party, after weeks of embarrassing infighting, to forge an alliance with Berlusconi.
European markets gained, highlighted by a 2.2% surge in Italy's FTSE MIB index as the swearing in of Italian Prime Minister Enrico Letta over the weekend helped settle the nation's political situation.
Letta's acceptance of the leadership role is expected to limit the uncertainty that has gripped the nation since February, when elections left none of the candidates with enough support to form a government.
Berlusconi recently said in an interview on his Mediaset television network that he would consider agreeing to Bersani as prime minister if his center-right ally, Gianni Letta, were elected president of the Republic.
Silvio Berlusconi's PDL and Enrico Letta's PD may be the heirs to Christian Democracy and Marxist ideology, but as in many other European democracies, centre-right and centre-left social democrat party policies now tend to converge.
Letta will speak to Parliament on Monday, laying out his strategy to reduce joblessness while still sticking to the austerity measures needed to keep the eurozone's No. 3 economy from descending into a sovereign debt crisis.
Berlusconi, engineering a political comeback that has seen his popularity steadily rebounded in opinion polls, saw his forces win enough seats in Parliament in elections earlier this year to make his People of Freedom party the main coalition partner in Letta's fledging government.
Enrico Letta's new "grand coalition" government - a hybrid mixture of party bigwigs, technical experts, and an unusually high number of women ministers - has been sworn in at Rome's presidential palace and is expected to get an early confidence vote in parliament.
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