When my wife and I watched the show I wrote a solver on the side so we always had the current probabilities and impossible combinations on the side.

I am thinking about making a website for it when the next season starts.

Also: in Germany at least they have 10 x 10 candidates from the start, but sometimes they add a 11th or even 12th of one gender so that there are double matches (e.g. 1 woman has two man as match and needs to find one of it to succeed). This raises the possible combination quite a bit.