Maximum number of users allowed by airport extreme 5th Gen.

I've created a roaming ethernet with wifi extension using seven AEBS.  Does any one know what is the maximum users allowed ( wired and wireless ) ?  I've been told the total number is 50 ( wired and wireless ) and I also remember reading somewhere stating that the total user allowed is 200 ( 50 wireless and 150 wired ).

OK, thanks for the info.
So, you have 6 AEBS devices in Bridge Mode and the "main" AEBS must supply DHCP services for the entire network.
Normally, the AEBS will supply a total of about 200 IP addresses (199 actually) to connected clients. But, you could increase this up to 250 or so. The 6 other AEBS devices each get an IP address, so you are down to 193 possible IP address assignments for the entire network.
Each of the AEBS devices on you rnetwork can handle up to 50 wireless clients. Each of these clents gets an IP address from the "main" AEBS.
If you spread things out evenly with the same number of wireless clients connecting to each of the 7 AEBS devices, each AEBS could handle about 27 wireless clients.
If you changed the "main" AEBS to be able to issue up to 250 IP addresses, then you could have about 34 wireless clients connected per AEBS.
You could have a "mix" of wired and wireless clients connecting, but the total number of connections on the entire network could not exceed 193 (or about 243 if you increase the DHCP settings on the "main" AEBS).

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