As a general rule, you only have trim tabs on an aircraft with an unpowered elevator. (because if the elevator is powered you don't need a device to adjust the hinge moment characteristics, you just power through it)
As another general rule, you usually don't have a trimmable stabilizer and a manual elevator system. (Because trimmable stabs become most useful, as mentioned somewhere up above, for the transonic/high subsonic case, and those aircraft typically have powered flight controls)
So in general you won't find tabs on the elevator if the stab is trimmable.