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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)

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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