Mathematics, 14.04.2020 22:22 neptunesx

9.166 Consider the set of bitstrings x ∈ {0, 1} n+k with n zeros and k ones with the additional condition that no ones are adjacent. (For n = 3 and k = 2, for example, the legal bitstrings are 00101, 01001, 01010, 10001, 10010, and 10100.) Prove by induction on n that the number of such bitstrings is n+1 k .

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9.166 Consider the set of bitstrings x ∈ {0, 1} n+k with n zeros and k ones with the additional cond...

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