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Consider the set of words (character strings) consisting a and b, e.g. aaba, bbaba. (a) How many words have length 10 in this set? (b)

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Consider the set of words (character strings) consisting "a" and "b", e.g. "aaba", "bbaba". (a) How many words have length 10 in this set? (b) A word is called special if it is lexicographically strictly smaller than any of its proper suffixes. For example, "ababb" is special. How many words of length 7 are special

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