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SMO 2009 Senior Round 1 Question 25

SMO · SMO 2009 Senior Round 1

Question 25

Find the number of $0$–$1$ binary sequences formed by six $0$s and six $1$s such that no three $0$s are together. For example, $110010100101$ is such a sequence but $101011000101$ and $110101100001$ are not.