Source : Webster's Revised Unabridged Dictionary (1913)

Eligibility \El`i*gi*bil"i*ty\, n. [Cf. F. ['e]ligibilit['e].]
   The quality of being eligible; eligibleness; as, the
   eligibility of a candidate; the eligibility of an offer of
   marriage.

Source : WordNet®

eligibility
     n 1: the state of being eligible
     2: the quality or state of being eligible; "eligibility of a
        candidate for office"; "eligibility for a loan" [ant: {ineligibility}]