According to the Judgement of Manwe anyone with any mortal blood was in any amount was automatically mortal. The only exception to this was if Manwe specifically granted other Doom to one of mixed blood (which was explicitly done with only seven people, Earendil, Elwing, Elrond, Elros, Elladan, Elrohir and Arwen). The descendants of Elros did not have a Choice because they were not granted a Choice.
It is not explicitly stated why they were not granted a Choice. Death was considered a Gift.
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Tar-Elenion
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