You are not missing anything but you have gained 97 doors! To get the subtlety here, you probably need to model it which is what I did. That's why I'm an IT b

You are not missing anything but you have gained 97 doors! To get the subtlety here, you probably need to model it which is what I did. That's why I'm an IT bod these days, with a Civil Engineering degree and not a mathematician or statistician.