Source : Webster's Revised Unabridged Dictionary (1913)

Inutility \In`u*til"i*ty\, n. [L. inutilitas: cf. F.
   inutilit['e].]
   Uselessness; the quality of being unprofitable;
   unprofitableness; as, the inutility of vain speculations and
   visionary projects.

Source : WordNet®

inutility
     n : the quality of having no practical use [syn: {uselessness},
         {unusefulness}] [ant: {utility}, {utility}]