Mir had been arrested by the CBI in an infamous sex scandal in 2006. He was acquitted by a trail court last September.
According to the state constitution, the strength of the council of ministers cannot be more 20 percent of the strength of state's bicameral legislature.
The legislative assembly has 87 seats and the legislative council has 36 seats.
The current strength of the council of ministers, including the chief minister, is 22.
