The time complexity of solving towers of hanoi problem recursively is O(2n) because there are two recursion calls in the solution of tower of hanoi.First recursive call to move n-1 disks to from source to helper then the user moves nth disk from source to destination after that recursion moves n-1 disks from helper to destination using source as helper rod.So each recursive call make two more recursive call this makes the time complexity be O(2n).
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