The President selects and nominates the people he wants as members of his Cabinet. Once nominated, these individuals must be approved by the Senate.
The Senate must approve the heads of the cabinet departments.
The president nominates individuals for each of his cabinet positions and the Senate must vote to approve those nominations. To specify, that's how it goes in the US.
The Senate has to approve the President's choices for "cabinet positions," that is, the heads of Executive branch departments. The President does have the authority to temporarily appoint a cabinet position without approval, if the Senate is not in session; that's called a "recess appointment." Recently, we had an interesting thing: the President appointed a cabinet position at a time when he said the Senate was not in session, and the Senate said they were.
The Senate
senate
The US Senate must approve or disapprove such appointments.
senate
appointed by the president and approved by the Senate
The Senate must approve the president's cabinet.
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A Congressman nominated by a President and confirmed by the United States Senate must resign from his elected position in the Congress permanently, and take on the appointed position in the Cabinet.
Management and labor must approve the arbitrator.