futility

noun3

1. •
   The quality of being futile or useless.

   • His taking the bar exam for a third time was pure futility.
2. •
   Something, especially an act, that is futile.

   • But fashion and authority apart, and bringing Plato to the test of reason, take from him, his sophisms, futilities, and incomprehensibilities, and what remains? — 1803
3. •
   Unimportance.

   • Her empty chatter, her futility, her childish coquetry and frivolity—such light wares could hardly be the whole substance of any woman’s being; […] — 1879