Most modern cruise ships are "2 compartment ships" these days. In other words, if we flood more than 2 water tight compartments, we are f***ed, definitely sinking, no doubt. Also, the water tight compartments are able to overflow on liners & cruise ships if the pumps aren't able to deal with the rate of flooding.
(Writing this from my office here on the Norwegian Sun, where I'm Safety Officer).
We have 16 water tight compartments from deck 2 & below, but the water tight doors only stop the flooding as high as deck 2 in each compartment; if we suffer damage across more than 2 compartments, then it's time to get in the life boats and rafts.
On another point, that Vicente's a bit warm!