Show that you can arrange n copies of all 3" ternary strings so that two consecutive strings differ in one position, and the last string and first string also differ in one position. For example, with n = 2, 11, 21, 22, 12, 32, 12, 22, 23, 33, 31, 21, 11, 13, 23, 13, 33, 32, 31 is one such arrangement.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 27E
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Show that you can arrange n copies of all 3" ternary strings so that
two consecutive strings differ in one position, and the last string
and first string also differ in one position. For example, withn D
2,
11, 21, 22, 12, 32, 12, 22, 23, 33, 31, 21, 11, 13, 23, 13, 33, 32, 31
is one such arrangement.
Transcribed Image Text:Show that you can arrange n copies of all 3" ternary strings so that two consecutive strings differ in one position, and the last string and first string also differ in one position. For example, withn D 2, 11, 21, 22, 12, 32, 12, 22, 23, 33, 31, 21, 11, 13, 23, 13, 33, 32, 31 is one such arrangement.
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