Final answer:
The smallest disk will be moved the most (512 times) in the Tower of Hanoi puzzle with 3 pegs and 10 disks.
Step-by-step explanation:
In a Tower of Hanoi puzzle with 3 pegs and 10 disks, the disk that will be moved the most between the pegs is the
smallest disk
. The Tower of Hanoi puzzle follows a specific algorithm where the smallest disk is constantly moved between the pegs to facilitate the movement of larger disks. Each time the smallest disk is moved, it allows for other disks to be moved as well. Therefore, the smallest disk will be moved the most, a total of 512 times in this particular puzzle.