inadmissibility

from WordNet (r) 3.0 (2006)

inadmissibility
    n 1: unacceptability as a consequence of not being admissible
         [ant: {admissibility}]

from The Collaborative International Dictionary of English v.0.48

Inadmissibility \In`ad*mis`si*bil"i*ty\, n. [Cf. F.
   inadmissibilit['e].]
   The state or quality of being inadmissible, or not to be
   received.
   [1913 Webster]