Counting off is a method of determining a number sequence by having individuals in a group recite numbers in order. Some antonyms for counting off may include randomizing, disorganizing, or shuffling. Instead of counting off in a structured manner, these antonyms suggest a more haphazard or chaotic approach. Alternatively, one could use a different method for determining order, such as drawing straws, flipping coins, or rolling dice. These antonyms challenge the idea of counting off as the only way to establish a hierarchy or order within a group, offering alternative methods that may involve chance or luck rather than a set structure.