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Wiktionary
mutually exclusive

a. Describing multiple events or states of being such that the occurrence of any one implies the non-occurrence of all the others.

WordNet
mutually exclusive
  1. adj. unable to be both true at the same time [syn: contradictory]

  2. necessitating a choice between mutually exclusive possibilities; "`either' and `or' in `either this or that'" [syn: alternative]