The phrase "appointed number" is correct and usable in written English.
It can be used in contexts where a specific quantity or limit has been designated or assigned for a particular purpose.
Example: "The committee has set an appointed number of participants for the event to ensure a manageable size."
Alternatives: "designated number" or "specified number".
The 1714 Act appointed a number of Commissioners of Longitude, either by name or by position, from political, maritime and scientific worlds.
Instead, they use the "electoral college" system, in which each state is appointed a number of votes (equal to the number of seats in Congress they have, plus two).
Prior's recently appointed opposite number at Inghams, Andy Perrin, is a little more sanguine.
Tellingly, Mr Daft has appointed his number two in Tokyo as the group's new head of marketing.
Since assuming office, at the end of June, Allawi has appointed a number of Baathists to senior positions most significantly, in the military and intelligence apparatus.
Well into the board meeting at which Ms. Hudson was appointed, a number of governors doubted that the academy was the place for her as well.
He was a strong and energetic ruler, and, although he appointed a number of capable aides, the emperor remained the final authority and the sole source of power.
Since assuming office, at the end of June, Allawi has appointed a number of Baathists to senior positions — most significantly, in the military and intelligence apparatus.
Johnston Press has appointed a number of department heads for its Edinburgh-based newspapers the Scotsman and Scotland on Sunday as it looks to enter the next phase of combining their editorial operations.
BLOOMBERG NEWS Lufthansa Said to Mull Sale of BMI | Lufthansa has appointed a number of banks, including Morgan Stanley, to look into the potential sale of the German airline's British arm, BMI, according to press reports.
