; (II) for the costs of a registered apprenticeship; or (III) for the costs of training provided by a joint labor-management partnership. (ii) In this subparagraph— (I) the term eligible institution means— (aa) an institution of higher education, as defined under section 101 of the Higher Education Act of 1965 ( 20 U.S.C. 1001 ), that has in effect a program participation agreement under section 487 of such Act ( 20 U.S.C. 1094 ) and is eligible to participate in any of the programs under title IV of such Act ( 20 U.S.C. 1070 et seq.); and (bb) a postsecondary vocational institution, as defined under section 102(c) of the Higher Education Act of 1965 ( 20 U.S.C. 1001(c) ), that has in effect a program participation agreement under section 487 of such Act ( 20 U.S.C. 1094 ) and is eligible to participate in any of the programs under title IV of such Act ( 20 U.S.C. 1070 et seq.); and (II) the term registered apprenticeship means an apprenticeship registered under the Act of August 16, 1937 (commonly known as the ‘National Apprenticeship Act’; 50 Stat. 664, chapter 663