Pacheco, an MLA of Goa Vikas Party, resigned from the post on Friday after his conviction for assaulting a government servant was upheld by the Supreme Court. He was convicted by the High court for slapping a government servant.
Goa cabinet has a strength of 12 members.
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"The strength of the cabinet cannot cross 12 members. Nobody can question me if I run the cabinet even with five members. Right now we have 11 members and it is within the permissible numbers," Parsekar, told PTI today.
He further added, "As of now I am not filling the post."
Sources in the government said intense lobbying is going on within the ruling coalition for the vacant berth.
Pacheco was a member of coalition partner Goa Vikas Party, who was inducted in November last year after former chief minister Manohar Parrikar moved to the Centre as Defence Minister.