User only seeing one channel

I’ve got several channels which appear in the Edit drop down when logged in as admin. I’ve created a user account but when I log in with the user account I’m only seeing one channel in the Edit drop down. It’s a small site and a simple set up but I can’t see any differences in the channel settings and I don’t understand why the user only sees one channel. Can anyone tell me how I can make the other channels appear in the drop down for the user account please?