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Using & Understanding Mathematics: A Quantitative Reasoning Approach 7th Edition

Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)

Book Edition7th Edition
Author(s)Bennett, Briggs
ISBN9780134705187
PublisherPearson Higher Education
SubjectMath

Chapter 8, Section 8A, Activity: Towers of Hanoi, Exercise 1

Page 490

Here is a tip:

Place the smallest disk in the rightmost rod for an even number of disks,and for an odd number of disks, place the smallest disk in the middle rod.

Explanation

  • If the player plays with an even number of disks then always place the smallest disk in the rightmost rod.
  • If the player plays with an odd number of disks, then always place the smallest disk in the middle rod.
  • Move the smallest and the next-smallest movable disk and repeat the same set of instructions over and over until the tower appears on the other side of the board.

Sample Response

For an even number of disks, place the smallest disk in the rightmost rod and for an odd number of disks, place the smallest disk in the middle rod.

Move the smallest and the next-smallest movable disk and repeat the same set of instructions over and over until the tower appears on the other side of the board.

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