I think your question and your example are not really the same question...
If you ask me "would you save 10 random people from death by killing a random one", that's for me equivalent to asking "would you rather kill random 9 people or 1 random person".
In that case, obviously I would choose to kill just 1 (and I don't really see how anyone could argue for the other option).
As for your example, I wouldn't ask any specific person to sacrifice themselves. That makes it more personal, not being random people any more. In that case I would just let them decide for themselves.
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