From the novel and film of the same name, an impossibly difficult choice, especially when forced onto someone. The choice is between two unbearable options, and it's essentially a no-win
"Sophie's Choice" is centered on a scene in Auschwitz
where Sophie has just arrived with her ten-year old son and her seven-year old daughter and a sadistic
doctor, presumably Doctor Mengele
, tells her that she can only bring one of her children; one will be allowed to live while the other is to be killed.
As a mother, Sophie adores both of her children and can't make this agonizing choice... until several soldiers force her and she hastily gives her daughter to them, sobbing as they take her little girl away.