When's the last time the Army had a major combat jump anyways?
Depends what you defined as "major"
OPERATION NORTHERN DELAY
Dates(s) or period of service: 26 1700Z March 2003 to 26 17737 March 2003 at Bashur Drop Zone Northern Iraq
The parachute assault force consisted of HHC, 173rd Airborne Brigade, 1st-508th Infantry (Airborne), 2nd-503rd Infantry (Airborne), 74th Long Range Surveillance Detachment, D Battery 319th Airborne Field Artillery Regiment, 173rd Combat Support Company, 501st Forward Support Company, 250th Forward Surgical Team, ODA (-), 2nd Battalion 10th SFG, 4th ASOS (USAF), and the 86th Expeditionary Contingency Response Group (-) (USAF).
The aircraft were from the C-17s of the 62nd and 446th Airlift Wings from McChord AFB, Washington and the 437th Airlift Wing and 315th Reserve Airlift Wing from Charleston AFB, South Carolina.
10 Chalks = 969 Jumpers
http://www.173rdairborne.com/manifest-iraq.htm
I believe some Ranger companies also made combat jumps during OIF, but my guess is that the above operation is the largest.
Of course, if this airborne operation was actually needed or not is up for a debate.