DISCRETE MATHEMATICS LOOSELEAF W/CONNECT

8th Edition

ISBN: 9781264309405

Author: ROSEN

Publisher: MCG

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Textbook Question

Chapter 8.1, Problem 26E

a) Find a recurrence relation for the number of ways to completely cover a 2 × n checkerboard with 1 × 2 dominoes. [Hint: Consider separately the coverings where the position in the top right corner of the checkerboard is covered by a domino positioned horizontally and where it is covered by a domino positioned vertically.)

b) What are the initial conditions for the recurrence relation in part (a)?

c) How many ways are there to completely cover a 2 × 17 checkerboard with 1 × 2 dominoes?

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Chapter 8.1, Problem 25E

Chapter 8.1, Problem 27E

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Chapter 8 Solutions

DISCRETE MATHEMATICS LOOSELEAF W/CONNECT

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Solution Summary: The author calculates the recurrence relation for the number of ways to completely cover a 2 n checkerboard with 12 dominoes.

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