Step 1: The question describes strangulation produced by holding the neck of the victim in the bend (crook) of the elbow, with mouth and nose also covered. This particular form of manual strangulation is termed Mugging.
Step 2: In mugging, the assailant usually attacks from behind and locks the victim's neck within the angle of the flexed elbow (a chokehold), compressing the airway and the vessels of the neck.
Step 3: Why the distractors are wrong: In Garrotting, the victim is attacked from behind and a ligature is thrown around the neck and quickly tightened (often twisted with a lever), causing sudden collapse. In Bansdola, two stout bamboo sticks are placed across the front and back of the neck and their ends are tied together so the neck is squeezed to death. Neither uses the elbow, so they do not fit the description.
Step 4: Hence the answer is Mugging.