No two 'a' are adjacent, No two 'b' are adjacent, No two 'c' are adjacent.

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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How many strings are there of length 6 over the alphabet {a,b,c} satisfying that
1. No two 'a' are adjacent, and
2. No two 'b' are adjacent, and
3. No two 'c' are adjacent.
The three conditions must all be satisfied.
Give your count as an integer.
Transcribed Image Text:How many strings are there of length 6 over the alphabet {a,b,c} satisfying that 1. No two 'a' are adjacent, and 2. No two 'b' are adjacent, and 3. No two 'c' are adjacent. The three conditions must all be satisfied. Give your count as an integer.
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