In this video in min. 3:59 the guy, who is teaching English says: "how could you have allowed me to do that" and he claims that that means "how did you let me do that". From my understanding that's totally wrong. Because, he should have said: "How could you allow me to do that?" Implying: "How come you let me do that?" Instead, to make it sound right. Not as if he is saying: " I know why you didn't let me do that?" Or maybe "I understand you couldn't let me do that." Because that is what I understand when he says: "How could you have allowed me to do that?" Atleast that is my understanding of that particular question right there, but I don't know. So please get me out doubt, I will appreciated it.
I'm editing this question because I might not have asked correctly.
Now the point of my question is: "Is the use of could have correctly used in this video?"