Generally, yes..... but it will depend on the rules / standing orders of the particular committee or organisation.
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The congress or the legislative body of the government can use casting vote in case of a tie.
A Chairperson?
a secret ballot.
Senator Max Baucus {D} of Montana.
The party leadership is the one who actually makes the decision of who will serve as chair of Congressional committees. At one time committee chairs were determined by seniority.