I doubt seriously if this would pass legal scrutiny.
-CITE-
10 USC Sec. 4343 01/07/2011
-EXPCITE-
TITLE 10 - ARMED FORCES
Subtitle B - Army
PART III - TRAINING
CHAPTER 403 - UNITED STATES MILITARY ACADEMY
-HEAD-
Sec. 4343. Cadets: appointment; to bring Corps to full strength
-STATUTE-
If it is determined that, upon the admission of a new class to
the Academy, the number of cadets at the Academy will be below the
authorized number, the Secretary of the Army may fill the vacancies
by nominating additional cadets from qualified candidates
designated as alternates and from other qualified candidates who
competed for nomination and are recommended and found qualified by
the Academic Board. At least three-fourths of those nominated under
this section shall be selected from qualified alternates nominated
by the persons named in clauses (2) through (8) of section 4342(a)
of this title, and the remainder from qualified candidates holding
competitive nominations under any other provision of law. An
appointment under this section is an additional appointment and is
not in place of an appointment otherwise authorized by law.
-SOURCE-
(Aug. 10, 1956, ch. 1041, 70A Stat. 242; Pub. L. 88-276, Sec. 1(2),
Mar. 3, 1964, 78 Stat. 150; Pub. L. 93-171, Sec. 1(5), Nov. 29,
1973, 87 Stat. 690; Pub. L. 102-25, title VII, Sec. 701(f)(5), Apr.
6, 1991, 105 Stat. 115.)
-MISC1-
I think this is where the authority to appoint out of order after the first 150 comes from.