I went with 10+.
What I can recall without actually counting them...
Running: One Jonsered 670, one Jonsered CS2171, one Stihl MS361, one Stihl 025, one Stihl 011AVT, one Husqvarna 51.
Projects (not requiring too many parts): One Jonsered 630, one Jonsered 49SP, one Craftsman 4.5/Homelite 450, one Titan 40, one Stihl 015L.
Parts/Carcasses (many missing parts): One Distton DA211, one Jonsered 920, one Jonsered 2095, two Jonsered 49SP, one Jonsered 510E, three Stihl 011/009, and at least a few that I missed.