Mr Barak's coalition still has a 68-seat majority in the 120-seat Knesset, but it is fragile.
But the new Polynesian-led government obtained only a one-seat majority in the 57-member assembly.
The parties won a six-seat majority in the 150-seat parliament in general elections last week.
The new government relies on the Free Democrats' 20 votes for its 10-seat majority.
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From these, it would appear that the GOP will lose four seats next week and retain a 51-seat majority.
The Democrats support a resolution that calls for a one-seat majority on committees.
His Likud-Yisrael Beitenu bloc won 31 seats in the 120-seat parliament, far short of the 61-seat majority he needs.
Kumaratunga's People's Alliance (PA) has only a one-seat majority in the unicameral house.
Normally, with a 178-seat majority in the Commons that would be no problem.
So the Christian Democrats will now govern the state with a one-seat majority after 14 years of Social Democratic rule.
Democrats hold a 40-seat majority in that chamber, but more than 50 Democratic representatives are members of the Blue Dog Coalition.
Undeterred by the polls, the Conservatives predicted an 80-seat majority, oblivious to the political cataclysm that was about to engulf them.
The party now has a five-seat majority in Preston, while the Conservatives narrowly held on to West Lancashire even though Labour gained five seats.
Republicans also enjoy slightly better footing in crucial Senate races than they did two months ago, when Democrats seemed well poised to increase their one-seat majority.
Labour have increased their majority in Hyndburn, with an extra five seats, and in Blackburn with Darwen with seven gains, meaning Labour have a 26-seat majority.
McCain, who attracted independent and Democrat voters to his presidential campaign, said he thinks the GOP can maintain or increase its narrow four-seat majority in the House.
Labour is "100% confident" of winning a majority, its general election chief has said, as he set out plans for a 60-seat majority at the next election.
The Nationalists fell in December after losing their one-seat majority.
He was swiftly promoted to the non-voting role of Speaker, freeing up his predecessor - Labour member Harry Jenkins - and effectively giving Ms Gillard a two-seat majority in the House.
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With the help of a bonus given to the winning party, the pro-Berlusconi camp has a 98-seat majority in the 630-member lower chamber, with all but a few thousand votes counted.
With a five seat majority in the Greek parliament, the unspoken assumption in Europe is that whatever the parliament approves cannot be executed this side of a big crisis and a national unity government.
Given bipartisan enthusiasm for more spending on education and the armed forces, that would seem a plausible solution, but one that will annoy Republican conservatives, involve haggling over other spending programmes, and strain the unity of the Republicans' six-seat majority in the House.
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Democrats have a 5-seat Senate majority (including the Independents who caucus with them), but the 2014 elections structurally favor the Republicans.
My own opinion is that Barack Obama plus a 55-seat Democratic majority in the U.S. Senate would be bad for the economy and stocks.
Four years ago he led the local Social Democrats to victory with 44.3% of the vote, giving them a one-seat absolute majority in the Hanover parliament.
The high-stakes battle in Kentucky's 6th District, crucial to Republican hopes of retaining a seven-seat House majority, matches two political veterans with voting records that can be attacked and record-smashing amounts of money to spend.
At the last election, he held the seat with a majority of 3, 864.
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