noun
a person or thing that is no longer in contention or competition
adjective
not in contention or competition
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Due to his injury, he is now officially out of the running for the championship title.
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She didn't make the cut, so she's out of the running for the lead role.
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He didn't impress the coach, so he's totally out of the running for the starting position.
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After missing the deadline, his chances of winning the contract are now out of the running.