The heater CORE is on the inside of the firewall behind the glovebox so if it was leaking you passengers floorboard would be wet. You could have a pinhole in one of the heater core hoses, a leaky intake gasket or head gasket. Best bet is to get back there with some degreaser and brushes to get a good clean/dry surface then start it with a bright ligtht to see where the coolant is originating from.
"No to little coolant inside" is confusing, does this mean you do have some on the carpet? If so I'd replace both heater hoses immediately. They're not easy to get to (laying on your back looking up) but if you don't change them soon they could bust and spray 200* coolant on the passengers feet and ruin a lot of your interior quickly. I loosened the clamps at the heater core, moved them out the way and slit the hoses lengthwise with a razor knife and peeled them off the htr. core nipples. If you pull on them you could break the solder on the nipples and they'll leak even with new hoses.
Jon