(a) Give an example of a set S such that the language S* has more six-letter words than seven-letter words.
(b) Give an example of a set S such that the language S* has more six-letter words than eight-letter words.
(c) Does there exist a set S such that S* contains more six-letter words than twelve-letter words. Give reasons for your answer.
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1. 6 letter words: sounds, shined, shadow, summer, Sunday, sights, summon
7 letter words: sounded, shadows, summers, ...
Sets of six, seven and eight-letter words are investigated and discussed in the solution.