eligibility

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

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.
   [1913 Webster]
    

ELIGIBILITY. Capacity to be elected. 
     2. Citizens are in general eligible to all offices; the exceptions 
arise from the want of those qualifications which the constitution requires; 
these are such as regard his person, his property, or relations to the 
state. 
     3.- 1. In. general, no person is eligible to any office, until he has 
attained the full age of twenty-one years; no one can be elected a senator 
of the United States, who shall not have attained the age of thirty years, 
been a 'citizen of th e United States nine years and who shall not be an 
inhabitant of the, state for which he shall be chosen. Const. art. 1, s. 3. 
No person, except a natural born citizen, or a citizen of the United States 
at the time of the adoption of this constitution, is eligible to the office 
of president, and no person shall be eligible to that office, who shall not 
have attained the age of thirty-five years, and been fourteen years a 
resident within the United States. Const. art. 2, s. 1. 
     4.-2. A citizen may be ineligible in consequence of his relations to 
the state; for example, holding an office incompatible with the office 
sought. Vide Ineligibility. Because he has not paid the taxes the law 
requires; because he has not resided a sufficient length of time in the 
state. 
     5.-3. He may be ineligible for want of certain property 
qualifications required by some, law. 
    

31 Moby Thesaurus words for "eligibility":
      acceptability, admissibility, admission, assimilation,
      completeness, comprehension, comprehensiveness, comprisal,
      coverage, desirability, eligible, embodiment, embracement,
      encompassment, envisagement, exhaustiveness, fitness, fittedness,
      inclusion, inclusiveness, incorporation, membership, openness,
      participation, qualification, reception, suitability, tolerance,
      toleration, whole, worthiness