The Congress, the single largest party with 17 MLAs, suffered a jolt as its legislator Viswajit Rane resigned the membership of the assembly, after refusing to vote against the trust motion defying the party whip.
Viswajit, son of Congress veteran and former chief minister Pratap Sinh Rane, said he was also quitting the party.
While Viswajit was elected from Valpoi his father won from Poriem.
The Congress, which failed in the number game and accused the BJP of horse-trading and other unfair means to retain power in the state, could mobilise only 16 votes against the government.
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He said the Congress created the hype over the BJP's bid to form the government, because there was a demand for Digvijay Singh tostep down as AICC general secretary in charge of the state.
"We have proved to the people of India that we have support of 23 on the floor of the House debunking Digvijay's claim that we don't have the numbers," he told mediapersons.
He was flanked by Goa Forward Party (GFP) leader Vijai Sardesai and Maharashtrawadi Gomantak Party (MGP) MLA Sudin Dhavalikar, whose support sealed the deal in favour of the BJP, whose tally came down to 13 from 21 this time.
One BJP MLA was made the pro tem speaker.
The special assembly session was convened to conduct the floor test following an order by the Supreme Court.
The Congress was reduced to 16 MLAs, after Viswajit remained absent during the voting.
The test was passed through a clear division which was ordered by Pro-tem Speaker Siddharth Kuncolienkar.
Parrikar, who resigned as Defence Minister from the central cabinet earlier this week, was sworn-in as the chief minister along with nine other MLAs by Governor Mridula Sinha on March 14.
"It happens when you come to Goa only to enjoy, not to work," he quipped.
Parrikar also rubbished allegations of horse trading levelled by the Congress against the BJP.
"I think there are wild allegations being made. Those with coloured glasses make these allegations. We saw everyone (legislators) voluntarily came and voted," he said.
"None of them was kept in hotel or secluded or common place, as was the case with opposition," he further said.
Viswajit, 45, said he was upset with the party leadership which has failed to form the government in Goa despite people giving mandate.