mutually exclusive

of or pertaining to a situation involving two or more events, possibilities, etc., in which the occurrence of one precludes the occurrence of the other: mutually exclusive plans of action.

1870–75 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Example sentences
The photographed blooms possess an unusual balance of both depth and focus,
  qualities often mutually exclusive.
Obviously the answer to this question isn't mutually exclusive.
But the new study supports an alternative-although not mutually
Good business sense and good environmental practices do not have to be mutually
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