Final answer:
The claim that the Towers of Hanoi problem can't be solved without recursion is false. You can implement a non-recursive solution using a stack or other data structures to track the moves, though it may be more complex.
Step-by-step explanation:
The statement that the Towers of Hanoi problem cannot be implemented using methods without recursion is FALSE. While recursive solutions are common for this problem due to their elegant and straightforward nature, it is indeed possible to implement a non-recursive solution using a stack or other data structures to keep track of the moves. Such solutions often involve simulating the call stack that is naturally maintained in a recursive approach, and hence can be more complex and less intuitive.
The Towers of Hanoi is a classic problem in algorithms and programming, demonstrating principles of recursion and problem-solving. Non-recursive approaches can be useful for understanding a problem from a different angle and can help avoid stack overflow errors for large numbers of disks.