"a full inventory" is correct and usable in written English.
You could use it in a sentence such as, "The storekeeper took a full inventory of the products for sale."
He carried out a full inventory when he started work in 2005.
Make a full inventory of everything you leave in the flat.
Now they are preparing a full inventory of the sites in Iraq.
*Complete a full inventory of the state's computers, as required by a law now almost three years old.
The laboratory is now conducting a full inventory of approximately 40,000 computer data storage devices that contain classified information.
Ms Skvortsova explained how Russia is also pursuing the treatment to develop "a full inventory of vaccines".
"Col Gadafy must supply a full inventory of what was supplied by his government if we are to have the fullest confidence in the peace process".
In 2005, the Paris appeals court declared the inheritance agreement Sylvia had signed null and void and ordered a full inventory of the family's property.
Last week, there was a $14.99 sale on pepper spray and a full inventory of Tuf Stik billy clubs made with "100percentt polycarbonate".
A full inventory of the seized products has been seen by the Guardian and forwarded to Godolphin and the British Horseracing Authority.
But he has contended that the institute never hid missing works, saying it simply lacked a full inventory of what was in its vault.
