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Adjective: indiscriminating  ,in-di'skri-mu,ney-ting
  1. Not discriminating
    "His indiscriminating appetite led him to eat anything put in front of him";
    - undiscriminating

See also: indiscriminate, scattergun, scattershot, shotgun [N. Amer, informal], unperceptive, unselective

Antonym: discriminating