There are situations (resignation, impeachment) where a temporary minister can be appointed, but who should choose? Note that I refer only to members of the executive branch here.
In the drafting of the current constitution it was decided (without much discussion) that the other ministers should choose. However, they might have trouble agreeing, and possibly this decision should be left to the Court, who are more likely to come to a swift decision, or the President (though that will cause problems if it is a temporary President who is required).
Edit: Sorry - I reread the con, and in fact the court do choose at the moment. I was confusing it with the result in case of tied elections
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