A joint task force is a "joint" ad hoc military formation. The task force concept originated with the United States Navy in the 1920s and 1930s.
"Combined" is the British-American military term for multi-national formations.
CTF – Commander Task Force, sometimes Combined Task Force
CCTF – Commander Combined Task Force
CJTF – Combined Joint Task Force
There are two ways in which a U.S. or U.S.-allied task force may be assigned a number.