With jazz groups it is easier because any original music or standards are written out, so we could potentially have hundreds of songs. Now, with some of the real book apps, we could have thousands.
I also play with a rockabilly band and a western swing band from time to time, and they each have maybe 100 songs, but on a given night they probably only play 45-50 songs (three 45 minutes sets). Those groups usually don't have charts, everyone is playing from memory, so there are a finite number of songs that can be done.