Consider ∑ = { a b } and S = { a aa bb }. How many 3 letter words do exist in S*? How many 3 letter words do not exist in S*? How many 4 letter words do exist in S*? How many 4 letter words do not exist in S*?
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Shaiju T.
Question 4: Which one of the following is an example of a set S such that the language S* has more 6-letter words than 5-letter words? 1. S = {aaaaa} 2. S = {aaa bb} 3. S = {abbbb} 4. S = {aa bbb} Question 5: Consider the language EVENNOTAB consisting of all words of even length and not containing the substring ab. Which one of the following is a suitable generator? 1. aa 2. a 3. ab 4. baaa Question 6: Which one of the following statements is not true? 1. If S = Ø, then S* = {Λ} 2. If S = {Λ}, then S* = {Λ} 3. If S = Ø, then S+ = {Λ} 4. If S = {Λ}, then S** = {ΛΛ}
Akash M.
Suppose that A is a set of 6 (distinct) symbols and consider strings (i.e. sequences) over A. Count each of the following. Note that the empty string, which consists of no symbols, is a string of length 0 and so may need to be counted: 1. The number of strings of length at most 4 (note that the empty string has length 0 and therefore should be counted). 2. The number of strings of length at most 4 in which no symbol occurs more than once. 3. The number of strings of length 10 in which the first and last symbol are the same. 4.The number of strings of length 5 in which at least one symbol occurs two or more times.
Supreeta N.
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