The Towers of Hanoi problem makes exactly ______ moves when it starts with N disks.
A)2ⁿ
B)2ⁿ - 1
C)N²
D)N³ - 1

Question

Quizplus · Accepted Answer

The Towers of Hanoi problem follows the formula 2ⁿ-1 for the minimum number of moves required. Therefore, the correct option is B. Option A is incorrect as it only gives the total number of possible moves, including repeats. Option C is incorrect as there is no correlation between the number of moves and the square of the number of disks. Option D is incorrect as it gives a formula for the maximum number of moves, which is not necessarily the same as the minimum number of moves.

The Towers of Hanoi Problem Makes Exactly ______ Moves When