Your childrens' lives aren't yours to take in the first place, so the answer has to be no whatever your personal feelings in the matter.
Your own life is the only one you have any right to take, and I wouldn't take mine to save 10,000 or even a million.
True but silly as it does not apply to this question. You are the one with the gun and you are the One who has to make the decision.
Your kid, or 10,000 Taliban. You kid, or 10000 Hezbolla Warriors. Your kid, or 10,000 chinese peasants. Or 10,000 african from impoverished Zaire. Or 10,000 people you really care about. or 10,000 random people.
Personally I voted C. If my kid was to join the military to go bust some loons, I will not put a strong objection. If that is not sacrifice then what is.