Source : Webster's Revised Unabridged Dictionary (1913)

Admissibility \Ad*mis`si*bil"i*ty\, n. [Cf. F.
   admissibilit['e].]
   The quality of being admissible; admissibleness; as, the
   admissibility of evidence.

Source : WordNet®

admissibility
     n : acceptability by virtue of being admissible [ant: {inadmissibility}]